b. $$ m(\angle B)=z^{\circ} $$ Identify the measure of a complementary angle of $$ m(\angle B)=z^{\circ} $$. The measure of the complement is $$ \square^{\circ} $$. (Simplify your answer.) Identify the measure of a supplementary angle of $$ m(\angle B)=z^{\circ} $$. The measure of the supplement is $$ \square^{\circ} $$. (Simplify your answer.) Identify the measure of a vertical angle of $$ m(\angle B)=z^{\circ} $$. The measure of the vertical angle of $$ m(\angle B) $$ is $$ \square^{\circ} $$. (Simplify your answer.)

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UpStudy AI · Accepted Answer

1. To find the complementary angle of $$ m(\angle B)=z^\circ $$, we use the fact that complementary angles add up to $$ 90^\circ $$. Therefore, the complement is
   $$
   90^\circ - z.
   $$

2. To find the supplementary angle of $$ m(\angle B)=z^\circ $$, we use the fact that supplementary angles add up to $$ 180^\circ $$. Therefore, the supplement is
   $$
   180^\circ - z.
   $$

3. Vertical angles are congruent, meaning they have equal measure. Therefore, the vertical angle of $$ m(\angle B)=z^\circ $$ is
   $$
   z^\circ.
   $$
- The measure of the complementary angle is $$ 90^\circ - z $$. - The measure of the supplementary angle is $$ 180^\circ - z $$. - The measure of the vertical angle is $$ z^\circ $$.

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