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QUESTION IMAGE

find x. find the measure of the indicated angle.

Question

find x. find the measure of the indicated angle.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the unknown angle be \(x\), and the given angles are 110° and 25°.

Step2: Set up the equation

\(x + 110^{\circ}+25^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\(x=180^{\circ}-(110^{\circ} + 25^{\circ})=180^{\circ}-135^{\circ}=45^{\circ}\)

Answer:

45