48.2k views
0 votes
Calculate the value of x.

~ There is a hint but.... I stil don’t understand so can someone just do it for me and explain it? :3

Calculate the value of x. ~ There is a hint but.... I stil don’t understand so can-example-1

2 Answers

4 votes
I rlly don’t know man I’m dumb
User Kyle Morse
by
3.5k points
5 votes

Answer:

x= 103°

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:


180=x+77

Solve for x. Use inverse operations to subtract 77 from both sides:


180-77=x+77-77\\\\180-77=x

Simplify subtraction:


103=x

x is 103°.

User Kgthegreat
by
3.4k points