Question

Find the measure of arc NL. A) 21° B) 42° C) 45° D) 84°

Answer 1

Answer:

D) 84

Step-by-step explanation:

Answer 2

The measure of arc NL is equal to 84°

Let O be the center of the circle.

• ∠MNL = 90° (angle subtended by the diameter)

∠MLN + ∠MNL + ∠NML = 180° (angle in a triangle)

90 + 42 + ∠MNL = 180

• ∠MNL = 48°

∠ONL = ∠OLN  (isosceles triangle)

∠ONL + ∠OLN + ∠NOL = 180 (angle in triangle)

48 + 48 + ∠NOL = 180

• ∠NOL = 84°

arc NL = ∠NOL = 84°

The measure of arc NL is equal to 84°

Find out more on circle at: https://brainly.com/question/24375372