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108A) 54B) 60C) 68D) 72BCNote: Figure not drawn to scale.In the figure above, lines and m are paralleland BD bisects ZABC. What is the value of x?

108A 54B 60C 68D 72BCNote Figure not drawn to scaleIn the figure above lines and m are paralleland BD bisects ZABC What is the value of x class=

Respuesta :

Given the shown figure:

lines l and m are parallel

So, m∠A = m∠ABC

Because the alternative angles are congruent

So, m∠ABC = 108°

And BD bisects the m∠ABC

So, m∠CBD = 1/2 * m∠ABC = 1/2 * 108 = 54°

As the lines l and m are parallel

So, m∠CBD = m∠D = x

So, the answer will be x = 54

The answer will be A) 54