Question

What is the measure of < x in degrees?(Picture below)

Answer 1

We have to find the measure of x.

We will use the fact that the sum of the measures of the internal angles of a triangle is equal to 180°.

We know one angle measure: 60°.

The other vertex angle is vertical angles with the angle with measure 53°, so it also has a measure of 53°.

The last angle is supplementary to x, so it will have a measure that is (180-x)°.

Then, if we add these three measures and equal to 180°, we can find the value of x as:

`\begin{gathered} 60+53+(180-x)=180 \\ 60+53+180-x=180 \\ 60+53-x=0 \\ x=60+53 \\ x=113\degree \end{gathered}`

Answer: x = 113° [Option d]