Question

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

Angle Measure
A ​(6x−1)°​
B 20°
C (x + 14)°
What are the measures of angles A and C?



Enter your answers in the boxes.

​m∠A=​
°

​m∠C=​
°

Answer 1

m<A = 125

m<C = 35

Explanation:

6x - 1 + 20 + x + 14 = 180

7x + 33 = 180

7x = 147

x = 21

m<A = 6x - 1 = 6(21) - 1 = 125

m<C = x + 14 = 21 + 14 = 35