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Leya [2.2K]
3 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:
kramer3 years ago
6 0

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]3 years ago
4 0

Answer:

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

Step-by-step explanation:

Listed in the above answer!

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