Question

find the measure of the angle indicated. just type numerical answer. no degrees. 42° 96° 48° 35° ?

Explanation:

Step1: Find third - angle of left triangle

In a triangle, the sum of interior angles is 180°. For the left - hand triangle with angles 42° and 96°, the third angle $\theta_1$ is $180-(42 + 96)=42$.

Step2: Find adjacent angle to 48°

The adjacent angle to 48° in the non - overlapping part of the two triangles is also 42° (vertically opposite angles are equal).

Step3: Find the indicated angle

For the right - hand triangle, we know two angles: 35° and 42°. Using the angle - sum property of a triangle ($180^{\circ}$ for interior angles), the indicated angle $\theta$ is $180-(35 + 42)=101$.

Answer:

101