Question

HELPCan anyone show me how tô calculate X and Y in this activity?

Answer 1

y = 10 and x = 12

Because we know that 6y and the blank angle next to 13y - 10 are alternate interior angles, and these angles are equal, then the blank angle next to 13y - 10 must equal 6y.

Since 6y and 13y - 10 are next to each other on a 180 degree line, then added together those angles must equal 180 degrees. We can set up an equation to solve:

6y + (13y - 10) = 180

19y - 10 = 180

19y = 190

y = 10

The same applies for the top, 6y and 9x +12 are on a 180 degree line. We can make another equation

6y + (9x + 12) = 180

We know the value of y so we can plug it in and solve for x now

6(10) + 9x + 12 = 180

60 + 12 + 9x = 180

72 + 9x = 180

9x = 108

x = 12