Question

Work out the sizes of angles x, y, and z.

Answer 1

Answer:

Angle x = 90 degree, Angle y = 15 degree , Angle z = 15 degree

Step-by-step explanation:

All angles of square measures 90° .

So, angle x + Angle of square = 180° ( Linear Pair)

Angle x = 180-90 =90°

Angle z + Angle of square + angle 75° = 180° (BC is straight line)

Angle z = 180-75-90 = 180- 165 = 15°

In triangle

Angle ( 75°+ x +y ) = 180° ( Sum of all angles of triangle)

Angle y = 180 - 90 - 75

180- 165

15°

Hope it helps!