Question

The measure of two adjacent angles of a parallelogram are in the ratio 7: 5. Find the measure of each of the angles of the parallelogram. *

Answer 1

Let One adjacent angle be 7x and the the other be 5x

Since, adjacent angles of a parallelogram are supplementary.

$7x+5x=180\\12x=180\\x=\frac{180}{12} \\x=15$

Therefore, adjacent angles are

$7(15)=105\\5(15)=75$

Since, opposite angles of parallelogram are equal.

Thus, all the angles of the parallelogram are

105°, 75°, 105°, 75°

Ans.

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