Question

find the measure of a complementary angle, a supplementary angle, and a vertical angle.
a. identify the measure of a vertical angle of ( m(angle a) = 22^circ ).
the measure of the vertical angle of ( m(angle a) ) is ( 22^circ ).
(simplify your answer.)
b. ( m(angle b) = y^circ )
identify the measure of a complementary angle of ( m(angle b) = y^circ ).
the measure of the complement is ( 90 - y^circ ).
(simplify your answer.)
identify the measure of a supplementary angle of ( m(angle b) = y^circ )
the measure of the supplement is ( 180 - y^circ ).
(simplify your answer.)
identify the measure of a vertical angle of ( m(angle b) = y^circ )
the measure of the vertical angle of ( m(angle b) ) is ( square^circ )
(simplify your answer.)

Explanation:

Step1: Recall vertical angles property

Vertical angles are equal, meaning if two angles are vertical angles, their measures are the same.

Step2: Apply to ∠B

Given \( m(\angle B) = y^\circ \), the vertical angle of \( \angle B \) will have the same measure as \( \angle B \).

Answer:

\( y \)