Suppose point D is in the interior of ∠ABC , m∠ABC=12x−110
, m∠ABD=3x+40
, and m∠DBC=2x−10
. What is the m∠ABC

Given:

Suppose point D is in the interior of ∠ABC , m∠ABC=12x−110 , m∠ABD=3x+40 , and m∠DBC=2x−10.

To find:

The measure of ∠ABC.

Solution:

Since point D is in the interior of ∠ABC, therefore

Substitute the given values, we get

Divide both sides by 7.

The value of x is 20.

Therefore, the measure of ∠ABC is 130 degrees.

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step-by-step explanation:

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