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find the measure of a complementary angle, a supplementary angle, and a…

Question

find the measure of a complementary angle, a supplementary angle, and a vertical angle for the fo
a. m(∠a)=22°
identify the measure of a complementary angle of m(∠a)=22°.
the measure of the complement is 68 °.
(simplify your answer.)
identify the measure of a supplementary angle of m(∠a)=22°.
the measure of the supplement is □°.
(simplify your answer.)

Explanation:

Step1: Recall supplementary angle definition

Supplementary angles sum to \(180^\circ\). Let the supplement be \(x\). So, \(x + 22^\circ= 180^\circ\).

Step2: Solve for x

Subtract \(22^\circ\) from both sides: \(x = 180^\circ - 22^\circ = 158^\circ\).

Answer:

\(158\)