Question

In triangle ABC, A + B = 144º and A + C = 124º, B = ?

Answer 1

A+B= 144

A+C= 124

A = 124- C

A + B + C = 180

124 - C + B + C = 180

B= 180 - 124

B = 56 degrees

Answer 2

A + B = 144 --------(1)

A + C = 124

C = 124 - A --------(2)

According to the Angle sum property of the triangle,

A + B + C = 180

144 + 124 - A = 180

- A = 180 - 144 - 124

- A = - 88

A = 88

Substitute A = 88 in equation (1), we get

88 + B = 144

B = 144 - 88

B = 56

Angle B = 56 Degrees