2.36 Numerical Problems Exercises 2.36 /6. Two diagonals of a parallelogram form with each other an angle of 118°. At one end of the base a diagonal forms angles of 26° and 18° with the sides. Find all the angles of the figure. (Assume the 18° angle is on the same side of the diagonal as the 118° angle.) /7. One angle of a rhombus is 120° and the shorter diagonal is 12 in. What is the length of one side of the rhombus? /8. One exterior angle at the base of an isosceles trapezoid is 1 right angles. Find all the angles of the trapezoid. /9. If two sides of a triangle are 12 in. and 8 in., between what values must the third side be? /1. Find all the angles in each of the follow- ing drawings. Given: Two parallel lines cut by a trans- versal 3х 2х X. 2x 80°+a /2. One angle of an isosceles triangle is 40°. What are the angles of the triangle? Give two possible sets of angles. /3. The vertex angle of an isosceles triangle is 48°. Find (a) an exterior angle at the base; (b) the angle between the bisectors of the base angles; (c) the angle between the altitudes on the legs; (d) the angle between the base and the altitude on one of the legs. /4. The bisector of one of the equal angles of an isosceles triangle forms with the opposite side an angle of 108°. Find all the angles. /5. The diagonals of a rectangle form with each other an angle of 130°. Find the angles which they form with the sides. /10. The length of the hypotenuse of a right triangle is 18. Find the length of the median to the hypotenuse. /11. The sides of a triangle are 12 in., 18 in., and 22 in. Find the sides of the triangle formed by joining the mid- points of the three sides. /12. The bases of a trapezoid are 8 in. and 20 in. Find the length of (a) the median; (b) the line joining the mid- points of the diagonals. /13. How many sides has an equiangu- lar polygon if the sum of its exterior angles is equal to the sum of its inte- rior angles?
2.36 Numerical Problems Exercises 2.36 /6. Two diagonals of a parallelogram form with each other an angle of 118°. At one end of the base a diagonal forms angles of 26° and 18° with the sides. Find all the angles of the figure. (Assume the 18° angle is on the same side of the diagonal as the 118° angle.) /7. One angle of a rhombus is 120° and the shorter diagonal is 12 in. What is the length of one side of the rhombus? /8. One exterior angle at the base of an isosceles trapezoid is 1 right angles. Find all the angles of the trapezoid. /9. If two sides of a triangle are 12 in. and 8 in., between what values must the third side be? /1. Find all the angles in each of the follow- ing drawings. Given: Two parallel lines cut by a trans- versal 3х 2х X. 2x 80°+a /2. One angle of an isosceles triangle is 40°. What are the angles of the triangle? Give two possible sets of angles. /3. The vertex angle of an isosceles triangle is 48°. Find (a) an exterior angle at the base; (b) the angle between the bisectors of the base angles; (c) the angle between the altitudes on the legs; (d) the angle between the base and the altitude on one of the legs. /4. The bisector of one of the equal angles of an isosceles triangle forms with the opposite side an angle of 108°. Find all the angles. /5. The diagonals of a rectangle form with each other an angle of 130°. Find the angles which they form with the sides. /10. The length of the hypotenuse of a right triangle is 18. Find the length of the median to the hypotenuse. /11. The sides of a triangle are 12 in., 18 in., and 22 in. Find the sides of the triangle formed by joining the mid- points of the three sides. /12. The bases of a trapezoid are 8 in. and 20 in. Find the length of (a) the median; (b) the line joining the mid- points of the diagonals. /13. How many sides has an equiangu- lar polygon if the sum of its exterior angles is equal to the sum of its inte- rior angles?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Topic Video
Question
Please help all the questions in the picture below
Transcribed Image Text:2.36 Numerical Problems
Exercises 2.36
/6. Two diagonals of a parallelogram
form with each other an angle of 118°.
At one end of the base a diagonal
forms angles of 26° and 18° with the
sides. Find all the angles of the figure.
(Assume the 18° angle is on the same
side of the diagonal as the 118° angle.)
/7. One angle of a rhombus is 120° and
the shorter diagonal is 12 in. What is
the length of one side of the rhombus?
/8. One exterior angle at the base of an
isosceles trapezoid is 1 right angles.
Find all the angles of the trapezoid.
/9. If two sides of a triangle are 12 in. and
8 in., between what values must the
third side be?
/1. Find all the angles in each of the follow-
ing drawings.
Given: Two parallel lines cut by a trans-
versal
3х
2х
X.
2x
80°+a
/2. One angle of an isosceles triangle is 40°.
What are the angles of the triangle? Give
two possible sets of angles.
/3. The vertex angle of an isosceles triangle
is 48°. Find
(a) an exterior angle at the base;
(b) the angle between the bisectors of the
base angles;
(c) the angle between the altitudes on the
legs;
(d) the angle between the base and the
altitude on one of the legs.
/4. The bisector of one of the equal angles
of an isosceles triangle forms with the
opposite side an angle of 108°. Find all
the angles.
/5. The diagonals of a rectangle form with
each other an angle of 130°. Find the
angles which they form with the sides.
/10. The length of the hypotenuse of a
right triangle is 18. Find the length of
the median to the hypotenuse.
/11. The sides of a triangle are 12 in.,
18 in., and 22 in. Find the sides of the
triangle formed by joining the mid-
points of the three sides.
/12. The bases of a trapezoid are 8 in.
and 20 in. Find the length of (a) the
median; (b) the line joining the mid-
points of the diagonals.
/13. How many sides has an equiangu-
lar polygon if the sum of its exterior
angles is equal to the sum of its inte-
rior angles?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning