Question

For item numbers 11 and 12, use the following choices.A. 35° B. 450 C. 70° D. 110°11. Angle A and angle C of a parallelogram are opposite angles. If angle A is 110°, what is the measure of angle C?12. If angle A and angle B are supplementary angles, what is the measure of angle B if angle A is 110°?

Answer 1

Explanation:

11. Angle A and angle C of a parallelogram are opposite angles. If angle A is 110°, what is the measure of angle C?

Opposite angles on a paralellogram are equals, then angle C must be equal to angle A

$m\angle A=m\angle C=110^o$

12. If angle A and angle B are supplementary angles, what is the measure of angle B if angle A is 110°? ​

Two Angles are Supplementary when they add up to 180 degrees, in this case:

$m\angle A+m\angle B=180^o$$\begin{gathered} 110^o+m\angle B=180^o \\ m\angle B=180^o-110^o \\ m\angle B=70^o \end{gathered}$

Answer:

11. 110°

12. 70°