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Pavel [41]
3 years ago
9

Two angles are complementary. One angle measures 32 degrees more than the other angle. Find the measure of the LARGER angle

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

\begin{array}{l}\text{We\ have\ } \alpha +\beta =90\ \text{and} \ \beta =\alpha +32\text{\ then}\\\\\alpha +\alpha +32=90\\\\\Longrightarrow 2\alpha =90-32\\\\\Longrightarrow \alpha =\frac{58}{2} =29\\\\\therefore \beta =29+32=61\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 61\ degrees}}\end{array}

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