two parallel lines, e and f, are crossed by two transversals. what is the measure of ∠15? o m∠15 = 77° o…
two parallel lines, e and f, are crossed by two transversals. what is the measure of ∠15? o m∠15 = 77° o m∠15 = 83° o m∠15 = 93° o m∠15 = 97°
Answer
Explanation:
Step1: Identify corresponding - angles
Parallel lines (e) and (f) are crossed by transversal (d). (\angle11) and (\angle15) are corresponding angles.
Step2: Determine the measure of (\angle11)
Given that (\angle11 = 97^{\circ}) (vertically - opposite to the given (97^{\circ}) angle).
Step3: Find the measure of (\angle15)
Since corresponding angles are equal when two parallel lines are cut by a transversal, (m\angle15=m\angle11 = 97^{\circ}).
Answer:
(m\angle15 = 97^{\circ})