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which equation can be used to solve for x in the following diagram? (3x…

Question

which equation can be used to solve for x in the following diagram? (3x + 12)° x° choose 1 answer: a (3x + 12) = x b 3x = 180 + x c (3x + 12) + x = 90 d (3x + 12) + x = 180

Explanation:

Step1: Identify angle - relationship

The two angles $(3x + 12)^{\circ}$ and $x^{\circ}$ form a linear - pair.

Step2: Recall linear - pair property

The sum of angles in a linear - pair is $180^{\circ}$.
So, $(3x + 12)+x=180$.

Answer:

D. $(3x + 12)+x = 180$