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PLEASEE HELPPP MEE!!

what is the measure of angle 3?

PLEASEE HELPPP MEE!! what is the measure of angle 3?-example-1

2 Answers

7 votes

Answer:

angle 3

Explanation:

angle 3 is part of 1/2 of and equilateral triangle. which means that this triangle has angle measures of 30,60,and 90.

all i can tell ya hope it helps!!

User Nick R
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2 votes

Answer:

∠3 = 52°

Explanation:

Lets break down this problem. We are given two parallel lines (Line M and Line P). In between those lines we have a transversal or Line S. We are told to find ∠3.

  • We know that ∠R, 62°, and ∠3 have to be supplementary to one another.
  • In order to find ∠3 we need to work from the bottom up.

I will do my best to explain this

Ok, we need to find ∠T first by taking


180-144 = 36

Note that ∠T = 66 °. We can use the Vertical angles theorem and find the angle opposite of ∠2. All the interior angles of a triangle must add up to 180°.

To find ∠2 of the triangle we take the following:


66+62 = 128\\180-128 = 52

Therefore, ∠2 = 52°

Because of the alternate angles theorem, technically∠3 should equal 52° and ∠R should = 66°.

Lets check our work:

  • The combination of ∠R + 62° + ∠3 = 180 as they are supplementary to one another


62+66+52 =180

With all that said, ∠3 = 52°

I am happy to help with any other problems you might have in the future and I will continue to work hard in trying to provide the best answers :D

User Deeptechtons
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3.9k points