Question

In parallelogram ABCD, find m∠A.
A) 15°
B) 70°
C) 110°
D) 200°

Answer 1

 You might know this property of parallelogram that "Consecutive angles are supplementary" i.e A + D = 180. So 6x + 20 + 4x + 10 = 180. 10x = 150. x= 15. Therefore ∠A = 6x + 20 = 6( 15) + 20 = 110°. so option C is correct.

Answer 2

The correct option is C.

Are Consecutive angles supplementary for parallelograms?

Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it into two congruent triangles.

(6x + 20)° + (4x + 10)° = 180°

30° + 10x = 180°

10x = 150°

x = 15°

m∠A = 6x + 20°

=6 (15) + 20°

=110°

Learn more about parallelograms here https://brainly.com/question/3050890

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