Answer:
x = 67
y = 67
Step-by-step explanation:
Angles with similar opposite side lengths are congruent. Both angle x and y have opposite side lengths with a length of 24, hence x = y.
Angles in a triangle add up to equal 180°. ( x + y is the same as 2x or 2y because x = y. This makes it easier to create an equation in which we can solve for. )
Because angles in a triangle add up to equal 180° x + y + 46 should equal 180
This equation can also be written as 2x + 46 = 180
We can then solve for x
2x + 46 = 180
subtract 46 from both sides
2x = 134
divide both sides by 2
2x / 2 = x
134 / 2 = 67
we're left with x = 67
because x = y, y also equals 67
