Question

Find the measure of the indicated angles. complementary angles with measures 6xminus31 and 8xminus33 Question content area bottom Part 1 The angles are enter your response here.

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Sigrid

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Solution:
Complementary angles are two angles whose sum is equal to 90 degrees. Therefore,
\left(6x-31\right)+\left(8x-33\right)=90
Solving for x,
14x-64=90
14x=154
x=11
Solving for the value of the two angles,
6x-31=6\left(11\right)-31=66-31=35^{\circ}
8x-33=8\left(11\right)-33=88-33=55^{\circ}
Answers: 35^{\circ},55^{\circ}

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