Verified answer

ANSWERS:

> A. Stretching out your reasoning power:

For Number One.

• The given angles are called corresponding angles, the reason why they are equal.

For Number Two.

• The given angles form a linear pair. They are adjacent and supplementary, thus, their sum measures 180°.

For Number Three.

• The given angles are example of vertical angles. Thus, they are equal.

For Number Four.

• The given angles are called corresponding angles, the reason why they are equal.

For Number Five.

• The given angles are called consecutive interior angles, the reason why they are supplementary.

> B. Use the figure to find the measure of the angle below.

For Number One.

• Since angles 8 and 7 forms an alternate interior angles, then they are congruent or equal.

For Number Two.

• Since angles 7 and 5 forms a linear pair, then they are supplementary. If angle 7 measures 112°, then angle 5 can be obtained by 180° - 112°.

For Number Three.

• Since angles 8 and 4 are corresponding angles, then they are congruent or equal.

For Number Four.

• Since angles 5 and 6 are vertical angles, then their measures are the same.

For Number Five.

• Since angles 8 and 10 forms a linear pair, then they are supplementary. If angle 8 measures 112°, then angle 10 can be obtained by 180° - 112°.