Question

Use the figure to find the measure of

the angle. Explain your reasoning.

1. ∠4

2. ∠5

3. ∠8

4. ∠6

Answer 1

1. ∠4 = 152°

2. ∠5 = 152°

3. ∠8 = 152°

4. ∠6 = 28°

Explanation:

1. ∠4 and 152° are vertical angles. Therefore, m∠4 = 152°.

2. ∠5 and 152° are corresponding angles. Therefore, m∠5 = 152°

3. ∠8 and 152° are alternate exterior angles, therefore, m∠8 = 152°

4. ∠6 and <8 are a linear pair. Therefore,

m∠6 + m∠8 = 180°

m∠6 = 180° - m∠8

m∠6 = 180° - 152°

m∠6 = 28°