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ArbitrLikvidat [17]
3 years ago
14

In the figure, angle D measures 45° and angle E measures 87°. What is the measurement of angle H?

Mathematics
2 answers:
exis [7]3 years ago
6 0
48 degrees

All three sides of the triagnle must add up to 180 degrees!

hope this helps :)
scZoUnD [109]3 years ago
3 0
Hat means y + z = 180. 

<span>y is thrice than z means y = 3 * z. </span>

<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>

<span>combine like terms to get 4 * z = 180. </span>

<span>solve for z to get z = 180 / 4 = 45 degrees. </span>

<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>

y = 135
<span>z = 45 </span>

y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>

<span>solution is confirmed to be good.</span>
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