Question

The measures of the angles of △ABC are given by the expressions in the table.

Angle Measure
A ​ (4x−13)° ​
B 15°
C (x + 18)°
What are the measures of angles A and C?



Enter your answers in the boxes.
​ m∠A= ​
º

​ m∠C= ​
º

Answer 1

A = 115

C = 50

Explanation:

Answer 2

a triangle has angles that add up to 180 degrees.

4x - 13 + 15 + x + 18 = 180....combine like terms
5x + 20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32

< A = 4x - 13
< A = 4(32) - 13
< A = 115

< C = x + 18
< C = 32 + 18
< C = 50