Answer:
x= 103°
Step-by-step explanation:
The angle next to angle x is 77° because it is a corresponding angle to the original 77° angle (corresponding angles is basically a pair that lies in the same position as each other, as is the case with the 77° angle and the angle to the right of x°).
Now that we know that the adjacent angle to x is 77°, you can find x. Note that the line x and 77° are lying on is parallel. This means that they are supplementary angles, which means that the sum of both angles is equal to 180°. Insert this into an equation:
[tex]180=x+77[/tex]
Solve for x. Use inverse operations to subtract 77 from both sides:
[tex]180-77=x+77-77\\\\180-77=x[/tex]
Simplify subtraction:
[tex]103=x[/tex]
x is 103°.
