Directions: Solve the following problems. Show your complete solutions. 1. A table cloth is cut into a parallelogram in which two opposite angles measure (8x+34)° and (15x-15)°? Find the measures of all the angles. 2. One lateral face of the roof of the school building is trapezoid in shape. One of the bases of this trapezoid is 4 m longer than the other base. Find the length of the two bases if the median measures 18 m. 3. The area of the plastic used by Erica in making her kite is 120 square inches and one of its diagonals is 4 inches less than twice the other diagonal. Find the lengths of the two diagonals.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section: Chapter Questions
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Directions: Solve the following problems. Show your complete solutions.
1. A table cloth is cut into a parallelogram in which two opposite angles measure (8x+34)° and
(15x-15)°? Find the measures of all the angles.
2. One lateral face of the roof of the school building is trapezoid in shape. One of the bases of this
trapezoid is 4 m longer than the other base. Find the length of the two bases if the median
measures 18 m.
3. The area of the plastic used by Erica in making her kite is 120 square inches and one of its
diagonals is 4 inches less than twice the other diagonal. Find the lengths of the two diagonals.
Transcribed Image Text:Directions: Solve the following problems. Show your complete solutions. 1. A table cloth is cut into a parallelogram in which two opposite angles measure (8x+34)° and (15x-15)°? Find the measures of all the angles. 2. One lateral face of the roof of the school building is trapezoid in shape. One of the bases of this trapezoid is 4 m longer than the other base. Find the length of the two bases if the median measures 18 m. 3. The area of the plastic used by Erica in making her kite is 120 square inches and one of its diagonals is 4 inches less than twice the other diagonal. Find the lengths of the two diagonals.
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