Question

Find X and Y using the image.

Answer 1

x = 59°

y = 130°

Explanation:

Find x:

Recall: the measure of an inscribed angle = ½(measure of intercepted arc), based in the inscribed angles theorem

Therefore,

x = ½(118°)

x = 59°

Find y:

y = 2(180 - (56 + x)) => inscribed angles theorem

Plug in the value of x

y = 2(180 - (56 + 59))

y = 2(180 - 115)

y = 2(65)

y = 130°