Answer:
x° = 45°
y° = 90°
z° = 45°
Step-by-step explanation:
Angles on a straight line add up to 180°
⇒ z° + 135° = 180°
⇒ z° = 180° - 135°
⇒ z° = 45°
The dashes on the side lengths mean that the sides are of equal length. Therefore this is an isosceles triangle. The base angles of an isosceles triangle are equal.
⇒ x° = z°
⇒ x° = 45°
The sum of the interior angles of a triangle is 180°
⇒ x° + y° + z° = 180°
⇒ 45° + y° + 45° = 180°
⇒ y° = 180° - 45° - 45°
⇒ y° = 90°
