Question

How do i solve for x ​

Answer 1

x = 31º

Explanation:

The inside of a triangle equals 180º. We are given one of the angles and we need to solve for those. First things first, we should solve the one on the left of the x. We know that a straight line equals 180º and we already have one angle. So, our equation should look like

180 - 88 = x, 180 - 88 = 92

So there's our second angle. Now, we can add then together and subtract by 180.

57 + 92 = 149

180 - 149 = 31

Answer 2

x = 31

Explanation:

The 88-deg angle is an exterior angle of the triangle.

The 57-deg angle and x are its remote interior angles.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

x + 57 = 88

x = 31