Question

Hey there Ms or Mr i don't understand the problem here could yiu please help me out?

Answer 1

When two angles are on oposite sides of a line that divide two parallel lines, they are called alternate exterior angles. When this happens the values of these two angles is the same.

In this case angles "1" and "3" are alternate exterior angles, therefore they are congruent.

`\begin{gathered} \measuredangle3=\measuredangle1 \\ \measuredangle3=2x+20 \end{gathered}`

We need to calculate the value of "x" to know its measurement. The angles "1" and "2" are suplementary, which means that their sum is equal to 180, we can use this to find "x".

`\begin{gathered} \measuredangle1+\measuredangle2=180 \\ 2x+20+4x+10=180 \\ 6x+30=180 \\ 6x=180-30 \\ 6x=150 \\ x=(150)/(6)=25 \end{gathered}`

We can find the value of the angle 3 by using 25 as the value of x.

`\begin{gathered} \measuredangle3=2\cdot25+20 \\ \measuredangle3=50+20 \\ \measuredangle3=70 \end{gathered}`

The value of the angle 3 is 70 degrees.