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■.Given angle TUV and ray UW, if m/TUV = 89,
m/TUW = 22 +7x, and m/WUV = 41+ 6x, find m/WUV.
Assume that point W is on the interior of TUV

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abidemiokin

The measure of m<WUV is 53 degrees

Lines and angles

Given the following parameters

m<TUW = 22 +7x,

m<WUV = 41+ 6x

m<TUV. = 89

The related expression is given as:

m<TUV + m<WUV = m<TUV.

Substitute

22+7x+41+6x = 89

63 + 13x = 89

13x = 89 - 63

13x = 26

x = 2

Determine the measure of m<WUV

m<WUV = 41 + 6(2)

m<WUV = 41 + 12

m<WUV =53 degrees

Hence the measure of m<WUV is 53 degrees

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