Question

Which statement justifies why ∠ABF measures 130°?

Answer 1

Answer:

A. A linear pair is two adjacent, supplementary angles.

Step-by-step explanation:

from the description,

< ABD = $50^{o}$, so that;

< ABD + <DBC = $90^{o}$

$50^{o}$ + <DBC =  $90^{o}$

<DBC =  $90^{o}$ -  $50^{o}$

          = $40^{o}$

Thus,

<FBE = < ABD = $50^{o}$ (vertically opposite angles)

<ABF + <FBE = $180^{o}$  (supplementary angles)

<ABF +  $50^{o}$ =  $180^{o}$

<ABF =  $180^{o}$ - $50^{o}$

         = $130^{o}$

The statement that justifies why <ABF measures $130^{o}$ is a linear pair is two adjacent, supplementary angles.