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find the measure of the indicated angle. just type numerical answer. no…

Question

find the measure of the indicated angle. just type numerical answer. no degrees. 25° 35° 28° ?

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. Let the unknown angle be $x$. The angle opposite to the angle formed by the intersection of the lines in the two - triangle figure is equal.

Step2: Use angle - sum property of a triangle

In the upper triangle, the non - given angle at the intersection of the two lines is $180-(25 + 35)=120$. In the lower triangle, we know one angle is $28$ and the angle at the intersection (equal to the upper - triangle's intersection angle) is $120$.

Step3: Calculate the unknown angle

Using the angle - sum property of a triangle ($180$ degrees in a triangle), $x=180-(120 + 28)=32$.

Answer:

32