227k views
0 votes
What is the measure of angle A in the triangle ​

What is the measure of angle A in the triangle ​-example-1

2 Answers

2 votes
2x+4+3x-13+180-116=180
5x+4-129=0
5x=125
x=25
A=3x-13=75-13=62
User XMilos
by
4.9k points
5 votes
Okay so we know a straight line is equal to 180 degrees, so first thing to do is subtract 180 by 116 to get angle C
C = 64

then we know all the angles in a triangle add up to 180 also
so we can do 64 + (2x + 4) + (3x - 13) = 180

combine like terms:
55 + 5x = 180

solve: x = 25

plug this back into the equation for angle A:
2(25) + 4

A = 54
User Chupik
by
6.3k points