Question

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

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of non-adjacent interior angles. Here, the 54° angle is an exterior angle relative to the triangle with angle R and the 38° angle. So:
$54^\circ = R + 38^\circ$

Step2: Solve for R

Rearrange the equation to find R:
$R = 54^\circ - 38^\circ$

Answer:

$16^\circ$
(Note: The provided options may have a typo, but the calculation gives 16° based on standard geometric theorems.)