Question

Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line is made up of two opposite rays.

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Answer 1

Hint: Use the Angle Addition Theorem and the fact that a line is made up of two opposite rays. Given: m∠1 = 62° and lines t and l intersect

Explanation:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement Reason

m∠1 = 62° Given

m∠1 , m∠2 are supplementary t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary r is a straight line hence linear pair.

Angle 2=180-62 = 118 Definition of supplementary angles

Angle 4 = 180-118 =62 -do-

Angle 1 = Angle 4 Equality property

Hence proved