Question

I need to know the answer and how to solve this

Answer 1

`m\angle1=65`

Step-by-step explanation

when a line intersect a pair of parallel lines, diverse angles are formed

As we can see, angles 1 and angle 2 are supplementary , ( the sum equal 180)

the same for angles 3 and 4,

also angle1 is congruent to angle 3

`m\angle1=m\angle3\text{ Eq(1)}`

and

angle 3 and 4 are supplementary ,so

`\begin{gathered} m\angle3+m\angle4=180 \\ \text{replace m}\angle4=115 \\ m\angle3+115=180 \\ \text{subtract 115 in both sides} \\ m\angle3+115-115=180-115 \\ m\angle3=65 \\ m\angle3=m\angle1=65 \end{gathered}`

I hope this helps you