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8th grade Mathematics

Please look at picture!

The measure of angels 4 is 120*, and the measure of angle 2 is 35*

What is the measure of angle 5?

A) 95*
B) 105*
C) 130
D) 155

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8th grade Mathematics Please look at picture! The measure of angels 4 is 120*, and-example-1

2 Answers

1 vote

Answer: 105

Explanation:

User Pankaj Mishra
by
7.4k points
7 votes

Answer:

A

Explanation:

the sum of all angles in a triangle is always 180°.

the combination of an inner and an outer angle towards a flat line is always 180°. simply because that line simulates a diameter of a circle with the vertex being the center. and half a circle has 180°.

so,

180 = angle 3 + angle 4 = angle 3 + 120°

angle 3 = 60°

180 = angle 1 + angle 2 + angle 3 = angle 1 + 35 + 60

angle 1 = 180 - 35 - 60 = 85°

180 = angle 1 + angle 5 = 85 + angle 5

angle 5 = 95°

User Aleksandr Ianevski
by
7.7k points