Answer:
y = 70° ; x = 40°
Step-by-step explanation:
The triangle with the angle y as well as the 55° angle is a isosceles triangle as indicated by the dash marks. This lets us know that the angle that isn't y must also be 55°. 180° (IAS of a triangle) - 110° (55°*2) = 70° (the measure of angle y).
To find x, we must realize that angle y is an opposite angle to one of the other triangle's angles, meaning that one angle that doesn't equal x in that triangle also equals 70°. We also know that the triangle with angle x is isosceles as indicated by the dashes. Therefore, two angles must be 70°. 180° - 140° = 40°.
