Answer:
B. 180°
Explanation:
Given:
• m∠TUM = 20°
,
• m∠MUV = 160°
We want to find the measure of angle TUV.
In the diagram, angle TUV is divided into two parts: TUM and MUV.
Thus:
[tex]m\angle\text{TUV}=m\angle\text{TUM}+m\angle M\text{UV}[/tex]
Substitute the given angles:
[tex]\begin{gathered} m\angle\text{TUV}=20\degree+160\degree \\ \implies m\angle\text{TUV}=180\degree \end{gathered}[/tex]
The measure of angle TUV is 180 degrees. The correct answer is B.
Note: This example reiterates that the sum of angle on a straight line is 180 degrees.
