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In pentagon $MATHS$, \($\angle M \cong \angle T \cong \angle H$\) and $\(\angle A$ \)is supplementary to \($\angle S\)$. How many degrees are in the measure of $\angle H$?

 Apr 3, 2020
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In a pentagon, the sum of its interior angles measures 180 * 3 = 540 degrees.

 

Let angle M = angle T = angle H = y.

 

Thus, the remaining angles measures 540-3y

 

Let angle A = x  and angle S = 180 - x

 

x + (180-x)=540-3y

 

Solving for y, we get 3y=360

 

y= 120 degrees. Angle H measures 120 degrees.

 Apr 3, 2020

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