knwwhitson
knwwhitson knwwhitson
  • 14-06-2022
  • Mathematics
contestada

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

Given that MATH is a parallelogram solve for cA 74B 84C 94D 104 class=

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Hope008
Hope008 Hope008
  • 14-06-2022

Answer:

C. 94

Step-by-step 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°
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