In parallelogram ABCD, find m∠A.
A) 15°
B) 70°
C) 110°
D) 200°
![In parallelogram ABCD find mA A 15 B 70 C 110 D 200 class=](https://us-static.z-dn.net/files/d3c/1113c969be9b5cbfe1b044921e2cc5db.jpg)
The correct option is C.
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°
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