abcdefghjk
contestada

∠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.

Respuesta :

MrRoyal

Answer:

[tex]B = 74[/tex]

Explanation:

Given

[tex]A=(3x-23)[/tex]

[tex]B=(2x-12)[/tex]

Required

Find B

Since A and B are supplementary, then:

[tex]A + B = 180[/tex]

Substitute values for A and B

[tex]3x - 23 + 2x - 12 = 180[/tex]

Collect Like Terms

[tex]3x + 2x = 180 + 23 + 12[/tex]

[tex]5x = 215[/tex]

Divide through by 5

[tex]\frac{5x = 215}{5}[/tex]

[tex]x = 43[/tex]

Substitute 43 for x in [tex]B=(2x-12)[/tex]

[tex]B = 2*43 - 12[/tex]

[tex]B = 74[/tex]

Otras preguntas