Which equation could you use to solve for the value of x?A.3× + 10 =180B.3x + 10 = 2xC.3x + 10 - 2x = 180D.3x + 10 + 2x = 180

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asked May 13, 2023 33.5k views

1 Answer

Jonny Henly · Answer 1 · 2023-05-18T11:06:10+0000

The given diagram shows a line segment AC intercepted by segment D at point B.

This forms two angles ∠ABD and ∠CBD, both angles are a linear pair, which means that they are supplementary. So we know that:

$\angle\text{ABD}+\angle\text{CBD}=180º$

If ∠ABD=(3x+10)º and ∠CBD=(2x)º, then their sum is

From this expression, you can determine the value of x.

The correct answer is D.