Question

One of the adjacent angles of a parallelogram is 50° less than other. The measure of greatest angle is ________

Answer 1

Answer:

115°

Step-by-step explanation:

The adjacent angles of a parallelogram are supplementary.

Let the smaller angle be x.

Greater angle = (x+50)°

=> x+x+50 = 180°

=> 2x = 180° - 50°

=> 2x = 130°

=> x = 130 ÷ 2

=> x = 65

Therefore, greater angle = (65+50)° = 115°