Question

Given that MATH is a parallelogram, solve for c.
A. 74
B. 84
C. 94
D. 104​

Answer 1

C. 94

Explanation:

Given that,

∠M = ∠T

(Opposite angles of the parallelogram)

• b - 10 = 86°
• b = 86 + 10
• b = 96°

Now, ∠H + ∠T = 180°.

(Adjacent angles of the same size)

• x + b - 10 = 180°
• x + 96 - 10 = 180°
• x + 86 = 180°
• x = 180 - 86
• x = 94°

Now, ∠H = ∠A

(Opposite angles)

• c° = x°
• c = 94°