Answer:
62°
Step-by-step 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
[tex]41 + 77 + x = 180[/tex]
Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: [tex]118 + x = 180[/tex]
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: [tex]x = 62[/tex]
Therefore, the third angle must have a measure of 62°.
