Question

What is the value of the angle marked with

\[x\]?

\[139^{\circ}\]
\[x\]
\[5.0\]
\[3.1\]
\[3.1\]
\[5.0\]
\[\Large{{}^\circ}\]

Answer 1

The calculated measure of the angle x is 79 degrees

How to determine the measure of the angle x

From the question, we have the following parameters that can be used in our computation:

The lines and the transversals

Given that the lines A and B are parallel lines, we have:

Angle between A and C = 110 - 52

Angle AC = 58

This also means that

Angle ADC = 52

Angle AE = 49

The sum of angles in a triangle is 180

So, we have

x = 180 - 52 - 49

x = 79

Hence, the measure of the angle x is 79 degrees