Answer:
Y = 58
X = 66
Step-by-step explanation:
So the markers mean that those sides of the triangle are congruent. Because of this, we know that the angles opposite from those sides are equal as well.
In the big triangle, Y will be equal to the empty angle. You can then use:
180 = 64 + 2*Y
Then, solving for Y, you get:
Y = (180-64)/2
Y = 58
You can use the same idea for the smaller triangle. The empty angle will be the same as the angle marked as 57.
180 = 57*2 + X
Then, solving for X, you get:
X = 180 - 57*2
X = 66
