8) Use the diagram to find the angle measure, given that MZBAE =130° %3D a) MZBAC b) MZCAD (3x- 10) (2x + 5)° c) MZDAE (x+15)° E

Q: 2. Given rhombus KLMN, a student claims that he can find all of the angle measures in the rhombus if…

A: Here we apply the properties of Rhombus we know that opposite angles are equal  and diagonals…

Q: Can the measure of a complement of an angle ever equal exactly half the measure of a suppliment of…

A: Sum of two complementary angles is 90 degrees and the sum of two supplementary angles is 180…

Q: The diameter of a circle is equal to the one side of a cyclic quadrilateral. Let the one diagonal of…

A: As per the guidelines, Solving only the first question Given a cyclic quadrilateral ABCD One side…

Q: Are the triangles similar? If so, which similarity theorem is used?

A:

Q: 7. In the diagram to the right, GE and BI are perpendicular to each other, MLACB = 65° and mzFDH =…

A: Given data:     The line GE is perpendicular to BI : m∠DHI=m∠DHC=90°. The given measurement of the…

Q: Let AABC be a triangle with AB = 3, AC = 4, BC = 5. Determine the measure of the angle between the…

A: In the right angle triangle the circumcenter lies in the mid point of the hypotenuse. The…

Q: Anna is comparing triangles, and knows that two sides and their included angle are congruent. Which…

A:

Q: If the measure of ZDBE is 40° and angles EBC and ABD are congruent, what is MZEBC? Do 40° MZABC=…

A: Given that the measure of angle DBE is 40 degree and also the angles EBC and ABD are equal. It is…

Q: Which theorem or postulate proves the two triangles are similar? The picture is not drawn to scale

A: Similar triangles can be found using three theorems:  AA SAS SSS

Q: 2. In APAD, the given angle is included between which two sides? angles are congrvent So a. ZP b. ZD

A: To find: The two sides in which given angle is included. Given information: (a) ∠P (b) ∠D Image:

Q: Give the theorem that supports the similarity of the given pairs of triangles. Then find the length…

A: Give the theorem that supports the similarity of the given pairs of triangles. Then find the length…

Q: What is the measure of angle A if it intercepts two arcs, one with a measure of 87 degrees and the…

A: What is the measure of angle A if it intercepts two arcs, one with a measure of 87 degrees and the…

Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from a…

Q: Y 90 degrees X

A: Find your answer below

Q: 15 Write three names for the angle. 16. Name three different angles in the diagram. In Exercises 17…

A: Question is solved.

Q: Draw three noncollinear points R, S, and T. Construct a triangle whosesides have R, S, and T as…

A: Draw three non-collinear points R, S, and T.

Q: E D A

A: Sum of all the angles on one side of a straight line always equal to 180∘ Two angles whoose sum is…

Q: Show that the sum of the angles in a triangle is r.

A: Given that, the statement is "the sum of the angles in a triangle is π. In order to prove the…

Q: 2. Consider the triangle below. M 64 Determine the angle measure for zA and ZM in order for AGAM to…

A:

Q: If a triangle has no congruent sides, it is called_____?

A: Given:If a triangle has no congruent sides, it is called______

Q: Let a triangle with integer angle measures have one angle of 116 degrees. What is the largest…

A: We have a triangle with one angle 116° We have to find the largest possible angle measure opposite…

Q: Let AABC be an equilateral triangle with defect . What is the measure of each angle?

A:

Q: 18. In triangle JKL, ZJ measures 25.8°, and Z K is a right angle. What is the measure of Z L?

A:

Q: What is the sum of the interior angle measures of a regular 24-gon?

A:

Q: In Angle MNO, Line segment IJ is drawn parallel to Line segment MN and intersects line segment MO…

A: Find JO.

Q: Can you use the angle bisector theorem to solve for mZWYZ?

A: Given Data: The length of side XW is: XW=9 The length of side ZW is: ZW=9 The measure of angle XYW…

Q: Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the…

A: Let ABC be a triangle and let x, y & z be the exterior angles at the vertices A, B and C…

Q: Given that the two triangles shown are congruent, explain one way to verify that the corresponding…

A: Given: The two triangle are shown are congruent  To Explain: The one way to verify that the…

Q: Given: angle VRS is congruent to angle TSR and line RV is congruent to line TS Prove that triangle…

A: Consider the triangle as shown in figure:

Q: exterior angle theorem

A: ∠ADB is the exterior angle of △BDC. So by the exterior angle theorem, we have ∠DCB+∠CBD=∠ADB . . . .…

Q: Which property of similarity can be used to prove triangles KLJ and NOM are similar?

A:

Q: Construct a triangle with angles 312 and 123 equal to angles ABC and 1/2 ABC respectively. 1 A B-

A: Let <ABC be theta degree.

Q: In AXYZ, ZXYZ is trisected by YW and YV. With angle measures as shown, find mZZ. 63 95 V

A: Given: In ∆XYZ, ∠XYZ is trisected by YW and YV. m∠YXV=63° and m∠YWV=95° as shown in the figure.…

Q: The exterior angles of a pentagon are (x + 5)°, (2x + 3)°, (3x + 2)°,(4x + 1)° and (5x + 4)°…

A:

Q: Can the sides of a triangle have lengths 0.2, 0.5, and 0.7?

A: According to the first triangle inequality theorem, the lengths of any two sides of a triangle must…

Q: Angles A and B are supplementary. If mZB = 126°, what is the measure of angle A ?

A: Sum of supplementary angles is 180°  So angle A + angle B = 180°

Q: In parallelogram MNPQ, mZM = (6x + 10)° and mZN = (5aæ + 10.5). Find the measure of angle Q.

A: Given, m∠M=6x+10°m∠N=5x+10.5°

Q: No three of the points A, B, C, D are collinear. Prove that the angle between the circumcircles of…

A:

Q: Based on the image, which statement supports the following given information? 4 7. 8. 21 2 O…

A: From the figure, we see that, line m || line n , where line l is the transversal, For ∠1 ≅ ∠2, no…

Q: What is the third step made in constructing an angle that is congruent to another angle?

A: Steps: 1) Use the straight edge to draw a ray. 2) Set the compass to any comfortable length.

Q: In ∆XYZ, XY=14, YZ=22, and XZ=28. What is the measure of angle Z to the nearest degree?

A:

Q: hat is the proof for ray MJ bisec

A: Here we have to prove that ray MJ bisecting angle HMK. To prove:-  MJ→ bisecting ∠HMK.

Q: What is the sum of an interior angle measures of a regular 13-gon?

A: The answer is found in step-2.

Q: a right triangle has leg opposike to angle & of length 9 and its leg adiacent to angle o is length…

A:

Q: What additional information is needed to prove the triangles are congruent by the Side-Angle-Side…

A: What additional information is added to prove the triangles are congruent by the side-angle-side…

Q: Suppose that square PQRS has 15-cm sides. G and H are on QR and PQ, respectively, so that PH and QG…

A: We will solve the following.

Q: What information is missing in order to make the triangles congruent by the reason given? SAS U K W…

A:

Q: Determine whether the triangles are similar. If they are type "SSS", "SAS", or “AA" for the…

A:

Q: In a triangle ABC, line t is drawn through vertex A in such a way that t parallel line BC. what is…

A:

Q: The sides of an angle inscribed in a semicircle are perpendicular    True or False?

A: As per given condition: We know that straight line makes an angle of 180 degrees. ∠AOC=180∘