3. Given the diagram below, prove DC = BC A 1. 4. 6. D E AD=AB 2. ZDEA is a right angle 3. ZDEA + ZBEA = 180° ZBEA = 180° - ZDEA ZBEA = 180°-90° ZBEA = 90° 5. ABEA is a right triangle. B Statement 10. ADEA is a right triangle. AE = AE 7. AAED=AAEB 8. DE=BE 9-EC-EC ZDEC = ZAEB ZDEA=ZCEB 11. DEC is a right angle. 1. 2. 3. 4. 5. 6. 7. 8. CPCTC. 9. 10. C Reason

Q: 4. Given angle B- 110°, a-6, b=10, find Angle A, C and the area of the triangle.

A: Given: B=110°, a = 6, b=10 To find: Angle A, B and area of the triangle Sine rule states that…

Q: 4. Suppose we know two sides, as well as a non-included angle of the triangle (SSA pattern) A 10 cm…

A:

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Q: 7. Use the law of cosines to solve the following triangle. C Angle C = 15 Angle B =. a A 50° side a…

A: Here we will simply use the cosine rule to find the unknowns

Q: 4. Triangle ABC is a right triangle with an angles A = 90°, B = 36.86°, and C = 53.13°, If AC is…

A: Given

Q: 1. Let A ABC be a triangle with the given lengths and angle measurements. Find all possible missing…

A:

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Q: 16. Find angle 2 in the diagram shown. 56° 2 B

A:

Q: Give the complement and the supplement of the angle. a. The complement of 60° is     ? °     since…

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Q: In the diagram below of A ADB where angle B is a right angle. Determine the length of DC to the…

A:

Q: 3. Suppose we know two sides, as well as an included angle of the triangle (SAS pattern) A 45 10 cm…

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Q: Which angle listed was created from a diagonal and a side? D O A. Angle ADC O B. Angle B O C. Angle…

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A:

Q: 1. Which set of angle measures CANNOT be the angle measures of a triangle? A. 50°, 50°, 80° B.…

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Q: Find the missing angle and sides b= 12 13 a 2 a = 30° B= ?? A B

A: Given, ∆ABC  with BC = 132AC = 12∠A = 30° We have to find the missing angle and sides

Q: 1. A triangle and its exterior angle are shown in the figure below. 120° 155° Which of the following…

A: from the figure angle b and 155° are linear pair, thereforeb+155=180b=180-155b=25°

Q: 1. GR intersects TV at point O. ZTOR is an obtuse angle.

A:

Q: Q7 Fill in the Blank a. This is the arm of the angle that lies along the positive x- axis. b. The…

A:

Q: 11. Find all the missing angles. Provide one reason each angle has that measure. The first one is…

A: Answer: angle b= 180-129=51⁰ because angle b and angle 129⁰are Linear pairs               Angle…

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A: We have to find the measure of reference angle of 225°. Reference angle is the angle between…

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Q: 7. Consider the figure below. A 110° C OC|| BD B D Angle ZBOC is 110 degrees. Either redraw the…

A:

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A: Please see the below picture for detailed solution.

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A: We will solve the following.