The measures of the angles of △abc are given by the expressions in the table. angle measure 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= º m∠c= º

All three angles of a triangle must add up to 180°. If Angle A is 48° then 180-48=132.

Angles B and C have to add up to 132°. So we can set up an equation: (6x-28)+(2x)=132.

Drop parenthesis and combine like terms: 6x-28+2x=132
8x-28=132

Now we need to get x by itself so add 28: 8x=160

Divide by 8: x=20

Now that we now x, we can plug it in for B: 6(20)-28=92. Angle B is 92°.

Repeat for Angle C: 2(20)=40. Angle C is 40°.

To check, add all three angles together. If they equal 180, the numbers are right.

So: 48+92+40=180°.