Question

15

Answer 1

By using parallel lines and transversal lines concept we can prove m∠1=m∠5.

Given that, a║b and both the lines are intersected by transversal t.

We need to prove that m∠1=m∠5.

What is a transversal?

In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.

m∠1+m∠3= 180° (Linear Pair Theorem)

m∠5+m∠6=180° (Linear Pair Theorem)

m∠1+m∠3=m∠5+m∠6

m∠3=m∠6

m∠1=m∠5 (Subtraction Property of Equality)

Hence, proved. By using parallel lines and transversal lines concept we can prove m∠1=m∠5.

To learn more about parallel lines visit:

brainly.com/question/16701300

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