Question

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If m∠2 = 108° and m∠P = 55°, then m∠O =

17
27
43
53

Answer 1

Do you know about supplementary angles?

Answer 2

it means that the angle has to be 180*

Answer 3

Right. Let's look at the two angles on the left then.

Answer 4

A straight line is bisected by that one line of the triangle.
So, the two angles created by the line will still add up to 180 degrees.

Answer 5

so its going to b 53,right?

Answer 6

Um, for what? The question? Where is your work?

Answer 7

The 108 degree is for the angle outside of the angle. We want to find angle H using that idea of supplemental angles.

Answer 8

108 angle is for the angle outside of the triangle*

Answer 9

so the inside of the triangle has to be 180 or just the bottom line?

Answer 10

Yes, the angles on the inside of the triangle must add up to 180 degrees.
But that line that extends from the triangle gives us a case where we have to find one of the angles on the INSIDE of the triangle.

Answer 11

so the angle H is 53?

Answer 12

The angle of H is not 53 degrees.
Do you know that a straight line also has an angle of 180 degrees too?

Answer 13

The problem is asking us to solve for angle O anyway.
Look at angle H again. We also have to find this angle. But they do give us a supplementary angle, 108 degrees. This angle is formed by that extended line from the bottom of the triangle.

Answer 14

Angle H = 180 (from the straight line) - 108 degrees = ?
Angle O = 180 (from a triangle) - Angle P - Angle H

Answer 15

oh ok thanks