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In pentagon ,  and  is supplementary to . How many degrees are in the measure of ?

 Jun 4, 2020
 #1
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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 $\angle H$ ?   

that is the real question in latex

 Jun 4, 2020
 #2
avatar+1130 
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so since \(\angle A \) is suplementary to \(\angle S\) they add up to \(180^\circ\) and a pentagon has \(520^\circ\)so we get \(340^\circ\) and the other \(3\) angle are the same so the measure of \(\angle H\) is \(\frac{340}3\) and about \(113.333...\)

 Jun 4, 2020
 #3
avatar+21955 
+1

I agree with the approach of the other answer, except that there are 540o in a pentagon.

 

540o - 180o  =  360o

 

360o / 3  =  120o

 Jun 4, 2020

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