Question

In circle TT, m, angle, U, T, V, equals, 64, degreesm∠UTV=64

∘
. Solve for xx if m, arc, U, V, equals, left bracket, 4, x, plus, 43, right bracket, degreesm
UV
⌢
=(4x+43)
∘
. If necessary, round your answer to the nearest tenth.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, we first need to use the formula relating the measure of an inscribed angle to the measure of the arc it intercepts:

m∠UTV = 1/2 * m arc UV

Substitute in the given values:
64 = 1/2 * (4x + 43)
64 = 2x + 43
2x = 21
x = 10.5

Therefore, x is approximately 10.5.