Question

Find the measure of the arc or angle indicated 2 problems photo provided

Answer 1

80° and 132°

Explanation:

the measure of an inscribed angle is half the measure of its intercepted arc.

(3)

the sum of the arcs in a circle = 360° , then

WV + VX + XW = 360° , that is

WV + 81° + 119° = 360°

WV + 200° = 360° ( subtract 200° from both sides )

WV = 160° , then

∠ WXV = ? =
`(1)/(2)` × WV =
`(1)/(2)` × 160° = 80°

(4)

arc MN = 2 × ∠ NLM = 2 × 76° = 152°

the sum of the arcs = 360°

LM + MN + NL = 360°

LM + 152° + 76° = 360°

LM + 228° = 360° ( subtract 228° from both sides )

LM = ? = 132°