What is the value of x? X+47⁰ 60⁰ x-14° Q x+63° S

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 8ECP
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What is the value of x?
X=
X+47°
60°
O
X-140
x+63°
s
R
Transcribed Image Text:What is the value of x? X= X+47° 60° O X-140 x+63° s R
Write an equation showing that the measures of ZUTV, ZUTW, and ZVTW sum to 360°,
since they span an entire circle. Then solve for mZUTW.
mZUTV + mZUTW + m2VTW
= 360°
130⁰ + m2UTW + 90° = 360°
Plug in mZUTV = 130° and m/VTW = 90°
m/UTW + 220⁰
= 360°
Combine like terms
mZUTW = 140°
Subtract 220° from both sides
So, mZUTW
= 140°.
Transcribed Image Text:Write an equation showing that the measures of ZUTV, ZUTW, and ZVTW sum to 360°, since they span an entire circle. Then solve for mZUTW. mZUTV + mZUTW + m2VTW = 360° 130⁰ + m2UTW + 90° = 360° Plug in mZUTV = 130° and m/VTW = 90° m/UTW + 220⁰ = 360° Combine like terms mZUTW = 140° Subtract 220° from both sides So, mZUTW = 140°.
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