Question

Refer to the figure below. Marla prepares Lumpiang Togue (Mung Bean Sprouts Spring Rolls) for merienda. After frying, she placed the tongs on top of the frying pan. If the measures of the intercepted arcs are 52° and 92°, what is the measure of ∠ETR? *

a.20°
b.43.5°
c.57°
d.60°​

Answer 1

a. 20°

Explanation:

The external angle T is half the difference of the intercepted arcs:

(92° -52°)/2 = 40°/2 = 20°

∠ETR = 20°