Question

Can someone help me solve for y and x and find out the angles of all the angles visable

Answer 1

Answer:

x = 10 , y = 15

Step-by-step explanation:

8x - 10 and 7x are alternate angles and are congruent , then

8x - 10 = 7x ( subtract 7x from both sides )

x - 10 = 0 ( add 10 to both sides )

x = 10

Then

8x - 10 = 8(10) - 10 = 80 - 10 = 70

6y + 20 and 8x - 10 are same- side interior angles and sum to 180°, that is

6y + 20 + 70 = 180

6y + 90 = 180 ( subtract 90 from both sides )

6y = 90 ( divide both sides by 6 )

y = 15