Question

10 points. Please help me with numbers 9-13. Numbers 9-13 is the picture.

Answer 1

Answer:

x  = 18

y = 15

Step-by-step explanation:

Remark

Step One

The main step is to realize that if the lower left hand angle is 90 degrees, then the upper left hand angle is also 90. That is because the interior angles of parallel lines are supplementary. If one of the angle is 90 degrees, so is the other.

Conclusion from the Remark

5x = 90

x = 90/5

x = 18 degrees

Step Two

Find y

y is just a bit harder to find . The safest way is to add all four interior angles together. For any trap*zoid (you cannot spell this word properly. The editor has a fit), the interior angles add up to 360 degrees.

So just add the 4 angles together and equate to 360

5(y + 11) + 4y  - 10 + 90 + 90 = 360     Combine like terms

5(y + 11) + 4y -  10 + 180 = 360            Combine again

5(y + 11) + 4y + 170 = 360                   Subtract 170 from both sides

5(y + 11) + 4y = 360 - 170                     Combine like terms

5(y + 11) + 4y = 190                             Remove the brackets

5y + 55 + y4 = 190                             Combine like terms

9y + 55 = 190                                     Subtract 55 from both sides.

9y = 190 - 55

9y = 135                                              Divide by 9

y = 135 / 9

y = 15