Question

The measure of the angles of triangle ABC are given by the expressions in the table.

A) 48°
B) (6x-28)°
C) (2x)° find the value of x. then find the measures of angles B and C.

enter your answers in the boxes.

x=__

m>B=__°

m>C=__°

Answer 1

x=20

m>B=92

m>C=40

Explanation:

the angles in a triangle add up to 180

48+6x-28+2x=180

6x+2x-28=132

6x+2x=160

8x=160

x=20

6(20)-28

120-28=92

2(20)=40

Answer 2

x = 20

B = 92

C = 40

Explanation:

The three angles of a triangle add to 180 degrees

A+B+C = 180

48+6x-28+2x = 180

Combine like terms

20+8x =180

Subtract 20 from each side

20+8x-20 = 180-20

8x = 160

Divide each side by 8

8x/8 = 160/8

x = 20

Then we need to find angle B

B = 6x-28 = 6(20)-28 = 120-28 =92

Then we need to find angle C

C = 2x = 2(20) = 40