Question

find the measure of ∠a in the parallelogram to the right.

m∠a=□
(type an integer or a decimal. do not include the degree symbol in your answer.)

Explanation:

Step1: Use the property of opposite angles in a parallelogram

In a parallelogram, opposite angles are equal. So, \(x = 3y\) and \(6y=5x - 180\).
Substitute \(x = 3y\) into \(6y=5x - 180\):
\(6y=5(3y)-180\)
\(6y = 15y-180\)
\(180=15y - 6y\)
\(9y=180\)
\(y = 20\)

Step2: Calculate the measure of \(\angle A\)

Since \(\angle A=3y^{\circ}\), and \(y = 20\)
\(\angle A=3\times20\)

Answer:

60