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what is the value of x? 36° 33° x° label optional

Question

what is the value of x? 36° 33° x° label optional

Explanation:

Step1: Sum of triangle angles

The sum of angles in a triangle is $180^\circ$.

Step2: Find adjacent angle

Adjacent angle to $x$ in the triangle: $180^\circ - 36^\circ - 33^\circ = 111^\circ$.

Step3: Calculate x

$x$ and the adjacent angle are supplementary: $x = 180^\circ - 111^\circ = 69^\circ$.

Answer:

69