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QUESTION IMAGE

find the measure of the missing angle.

Question

find the measure of the missing angle.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Let the missing angle be \(x\)

We know one angle is 90° (right - angle) and assume the other given non - right angle is 40° (although it's not clearly visible in the small triangle image, but for a right - triangle with two non - right angles, if we assume the visible non - right angle is 40°). Then \(x+90^{\circ}+40^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\(x = 180^{\circ}-(90^{\circ}+40^{\circ})=180^{\circ}-130^{\circ}=50^{\circ}\)

Answer:

\(50^{\circ}\)