496,745 views
11 votes
11 votes
If the measure of angle 1 = 2x+3 and the measure of angle 2 = 3x+2, then what is the measure of angle 3?

User Horhshubham
by
2.7k points

1 Answer

9 votes
9 votes

Answer: 126°

Explanation:

Step-by-step explanation: Since every triangle has 180 interior degrees, we can say 2x + 3x + 90° = 180°. Subtract 90° from each side and we get

2x + 3x = 90°

5x = 90°

x = 18°

Plug in x for Angle 2, giving us Angle 2 = 54°

Angle 1 and angle 2 must add up to 180°

Subtract 54° from 180° and we get 126°

User Lisbeth
by
2.9k points