In circle WW, m, angle, V, W, U, equals, 67, degreesm∠VWU=67
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. Solve for xx if m, arc, V, U, equals, left bracket, 4, x, minus, 46, right bracket, degreesm
VU
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=(4x−46)
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. If necessary, round your answer to the nearest tenth.
Since the measure of angle VWU is 67 degrees, and the measure of arc VU is (4x-46) degrees, we can set up an equation based on the relationship between angles and arcs in a circle:
m arc VU = 2 * m angle VWU
(4x-46) = 2(67)
4x-46 = 134
4x = 180
x = 45
Therefore, x is equal to 45.