Question

1. what is the measure of angle r? 38° 54° 36° 52°

Explanation:

Step1: Identify angle relationships

The 38° angle is an external angle of the triangle with angle R and 54°. External angle = sum of two remote interior angles. So $38^\circ + R = 54^\circ$.

Step2: Solve for R

Subtract 38° from both sides: $R = 54^\circ - 38^\circ$.

Answer:

52°