A bridge has parallelogram-shaped metal supports where adjacent angles are in a 5:4 ratio. What is the measure of the larger angle?
Show answer & explanation
Correct answer: A
Explanation
Given:
Ratio of adjacent angles = 5 : 4
By the formula:
Sum of adjacent angles in a parallelogram = 180°
Let the angles be 5x and 4x
5x + 4x = 180
9x = 180
x = 20
Larger angle = 5x
Larger angle = 5 × 20
Larger angle = 100°