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matrenka [14]
3 years ago
15

21 and 22 are complementary angles.

Mathematics
1 answer:
Bumek [7]3 years ago
8 0

The measure of angle 2 is \angle 2=14^{\circ}

Explanation:

Given that \angle 1 and \angle 2 are complementary angles.

Also, the measure of angle 1 is \angle 1= 76^{\circ

We need to determine the measure of \angle 2

Since, we know that the complementary angles add up to 90°, then the angles \angle 1 and \angle 2 add up to 90°.

Thus, we have,

\angle 1+\angle 2=90^{\circ}

Substituting the value of \angle 1 in the above expression, we have,

76^{\circ}+\angle 2= 90^{\circ}

Subtracting both sides by 76°, we get,

\angle 2 = 90^{\circ}-76^{\circ}

Simplifying, we have,

\angle 2 = 14^{\circ}

Thus, the measure of angle 2 is \angle 2=14^{\circ}

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