Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i

Question

2 years ago

12

Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i

s made up of two opposite rays.
Given: m∠1 = 62° and lines t and l intersect
Prove: m∠4 = 62°

needs to be a actual two column proof with statements and reasons. im just not really understanding it

Mathematics

2 answers:

kramer · Answer 1 · 2022-07-26T02:00:56+03:00

Answer:

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

Brums [2.3K] · Answer 2 · 2022-07-26T03:10:46+03:00