Question

line r is parallel to line t. find m∠6. the diagram is not to scale. 138 142 32 42

Explanation:

Step1: Identify vertical - angle relationship

The angle of 138° and ∠1 are vertical angles, so m∠1 = 138°.

Step2: Use corresponding - angle property

Since line r is parallel to line t, ∠1 and ∠2 are corresponding angles. So m∠2=m∠1 = 138°.

Step3: Identify vertical - angle relationship for ∠6

∠2 and ∠6 are vertical angles. Vertical angles are congruent. So m∠6=m∠2 = 138°.

Answer:

138