Question

A triangle has the following two angle measures:

based on the angles given the third angle must have a measure of _______?

Answer 1

62°

Explanation:

Given that the triangle has two angle measures of 41° and 77°.

All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:

Let x = the missing measure

`41 + 77 + x = 180`

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation:
`118 + x = 180`

Then we subtract 118 from both sides to isolate x - this will give us the value of this variable:
`x = 62`

Therefore, the third angle must have a measure of 62°.