Question

In the parallelogram MATH, m A. 56
B. 62
C. 112
D. 124

Answer 1

In a parallelogram, opposite angles are congruent. This means that angle M's measure is equal to angle T's measure. With this information, we can create an equation to find the value of x. With the value of x, we can find the measure of angle M and subtract it from 180. We will be doing this because consecutive angles in a parallelogram are supplementary.

measure of angle M = measure of angle T
3x + 20 = 5x - 4
24 = 2x
12 = x

measure of angle M = 3x + 20 = 3(12) + 20 = 36 + 20 = 56
measure of angle A = 180 - measure of angle M = 180 - 56 = 124

Final Answer: D. 124 degrees

Answer 2

Parallelogram
m<M = m<T
3x + 20 = 5x - 4
2x = 24
x = 12

m<M = 3(12) + 20 = 36 + 20 = 56
m<T = m<M = 56
m<A = m<H = 1/2( 360 - 56 - 56 )
= 1/2(360 - 112)
= 1/2(248)
= 124°

Answer is D.
m<A = 124°