Question

M∠A = (2x + 5)° and m∠B = (3x − 15)°.
Find the measure of each angle (in degrees) of ▱ABCD.

Answer 1

Explanation:

We have to assume that ABCD is a parallelogram. If it isn't, leave a note.

Secondly we have to assume that the angles are consecutive. In a parallelogram, consecutive angles are supplementary.

<A + <B = 180

2x + 5 + 3x - 15 = 180

5x - 10 = 180 Add 10 to both sides

5x = 190 Divide by 5

x = 190/5

x = 38

A = 2x + 5

A = 2*38 + 5

A = 81

B = 3x - 15

B = 3*38 - 15

B = 99