Question

In parallelogram ABCD, find m∠A.

A) 15°
B) 70°
C) 110°
D) 200°

Answer 1

the answer is C) 110 degrees

Answer 2

Option C. 110°

Explanation:

As we can see in the figure attached AB and CD are the parallel lines and EC is the transverse.

y = 4x + 10 [ alternate angles ] --------(1)

and y + (6x + 20) = 180° [ supplementary angles ]---------(2)

By substituting the value of y from equation 1 to equation 2

(4x + 10) + (6x + 20) = 180

4x + 6x + 10 + 20 = 180

10x + 30 = 180

10x = 180 - 30 = 150

`x=(150)/(10)`

x = 15

Now we can find the measurement of angle DAB

∠DAB = ∠A = 6x + 20

∠A = 6(15) + 20 = 90 + 20 = 110°

Option C is the correct option.