Question

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

Answer 1

x = 20 ∠B = 92° ∠C = 40°

Explanation:

The sum of angles of a triangle is 180°.

48 +(6x -28) +2x = 180

8x +20 = 180

8x = 160

x = 20

∠B = (6x -28)° = (6*20 -28)° = 92°

∠C = 2x° = 40°

Answer 2

X= 20

m<B = 92°

m <C = 40°

Explanation:

The sum of angles in a triangle = 180°

So, 48 + 6x-28 +2x = 180

8x+20= 180

8x = 160

So x= 160/8 = 20

Substitute x in the equations:

m<B= 6×20-28= 92°

m<C = 2×20 = 40°