Question

Find m∠TUV if m∠TUM = 20° and m∠MUV = 160°.A. 156°B. 180°C. 112°D. 121°

Answer 1

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:

`m\angle\text{TUV}=m\angle\text{TUM}+m\angle M\text{UV}`

Substitute the given angles:

`\begin{gathered} m\angle\text{TUV}=20\degree+160\degree \\ \implies m\angle\text{TUV}=180\degree \end{gathered}`

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.