Question

Solve for X
130, 40, ?

Answer 1

x = 90

Explanation:

The other unlabled angle in the triangle forms a 180 degree angle with 130 degrees (because they make a straight line). So it can be found by subtracting 130 from 180, which equals 50.

The sum of all the angles in a triangle is 180.

180 - 50 - 40 = x

90 = x

Answer 2

Introduction

Hello! My name is Galaxy and I'll be helping you solve this problem. We can split this problem into two steps. Them being Theory and Solving.

I'll go ahead and start with the Theory.

Theory

We can start off by looking at the image you've provided, we can see a triangle that has 2 angles given of a triangle, and an exterior angle of the triangle.

This being said, we can apply the Exterior Angle Theorem.

We can now begin to solve for the missing angle.

Solving

We can begin to solve by using our given angles to find the third angle.

According to the Exterior Angle Theorem, we know that the unknown angle along with the
`40`° angle must add up to the
`130`° angle.

Therefore, we can solve for
`x`,

`x+40=130\\x=130-40\\x=90`

After this, we know that angle
`x` is equal to 90°.

Cheers,

Galaxy