Question

For the parallelogram if m<2=4x=3x-15, find m<3. The diagram is not to scale.

Answer 1

159

Explanation:

Diagonal angles of a parallelogram are equal.

Therefore, 3x-15 = 4x-27.

3x - 15 = 4x - 27

4x = 3x + 12

x = 12

Angle 4 = 21 degrees, because 36 - 15 = 21.

All angles in a parallelogram add up to 360 degrees.

360 - 42 = 318

318 / 2 = 159

The angle measure is 159 degrees.