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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... 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 158°. (simplify your answer.) identify the measure of a vertical angle of m(∠a) = 22°. the measure of the vertical angle of m(∠a) is 22°. (simplify your answer.) b. m(∠b) = y° identify the measure of a complementary angle of m(∠b) = y°. the measure of the complement is □°. (simplify your answer.)

Explanation:

Step1: Recall complementary angle definition

Complementary angles sum to \(90^\circ\). Let the complement be \(x\). So \(x + y=90\).

Step2: Solve for x

Subtract \(y\) from both sides: \(x = 90 - y\).

Answer:

\(90 - y\)