The measure of m<WUV is 53 degrees
<h3>Lines and angles</h3>
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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Step-by-step explanation:
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Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3