Question

for exercises 1 - 5, use the figure at right to complete each statement.

1. a is the vertex of ∠bae.
2. $overline{ad}$ is the of ∠bae.
3. $overline{ad}$ is a side of ∠dae.
4. if $mangle bac = 42^{circ}$, then $mangle cae=$.
5. $angle dabcong$.

for exercises 6 - 9, use your protractor to find the measure of each angle to the nearest degree.

1. $mangle pro = 137^{circ}$ 7. $mangle ort$
2. $mangle o$ 9. $mangle rto = 70^{circ}$

Explanation:

Step1: Observe angle - bisector property

Since $\overrightarrow{AC}$ bisects $\angle BAE$, $\angle BAC=\angle CAE$.

Step2: Substitute the given value

Given $m\angle BAC = 42^{\circ}$, so $m\angle CAE=42^{\circ}$.

Step3: Observe congruent - angles

From the figure, we can see that $\angle DAB\cong\angle EAC$ (because of the angle - bisector and angle - relationships).

Answer:

1. $42^{\circ}$
2. $\angle EAC$