Question

∠A and \angle ∠B are supplementary angles. If m\angle A=(3x-23)^{\circ}∠A=(3x−23)
∘
and m\angle B=(2x-12)

∘
, then find the measure of \angle ∠B.

Answer 1

Answer:

$B = 74$

Explanation:

Given

$A=(3x-23)$

$B=(2x-12)$

Required

Find B

Since A and B are supplementary, then:

$A + B = 180$

Substitute values for A and B

$3x - 23 + 2x - 12 = 180$

Collect Like Terms

$3x + 2x = 180 + 23 + 12$

$5x = 215$

Divide through by 5

$\frac{5x = 215}{5}$

$x = 43$

Substitute 43 for x in $B=(2x-12)$

$B = 2*43 - 12$

$B = 74$