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36 votes
Find the value or measure. Assume all lines that appear to be tangent are tangent.m(angle) TUV=

Find the value or measure. Assume all lines that appear to be tangent are tangent-example-1
User Abderrazzak Nejeoui
by
2.3k points

1 Answer

19 votes
19 votes

Answer:

Angle TUV = 46 degrees.

Step-by-step explanation:

In the diagram, angle TUV is the external angle.

The external angle is always half the difference of the internal angles.

Therefore:


\angle\text{TUV}=(1)/(2)(145^0-53^0)

We simplify to obtain our result.


\begin{gathered} \angle\text{TUV}=(1)/(2)*92^0 \\ =46^0 \end{gathered}

The measure of angle TUV is 46 degrees.

User Loa
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2.1k points