Question

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, angle B = 92 and angle c = 40

Explanation:

3 angles in a triangle adds up to 180, and since A is 48, we have B + C = 132

6x - 28 + 2x = 132
=> 8x - 28 = 132
=> 8x = 160 and x = 20

B = 6 x 20 - 28 = 92
C = 2 x 20 = 40