Question

In the following parallelogram find the missing values​

Answer 1

Answer:

X = 100°, Y = 20° AND Z = 120°

Step-by-step explanation:

∠QRS = 180 - 60 = 120° (LINEAR PAIR)

∠QRS = Z = 120° (OPPOSITE ANGLE OF PARALLELOGRAM ARE  EQUAL)

∠QSR = Y = 20° (CO-INTERIOR ANGLES)

Z = X + Y (SUM OF ADJACENT ANGLES OF A PARALLELOGRAM IS 180°)

SUBSTITUTING THE VALUE OF Y AND Z, THEREFORE,

120 = 20 + X

X = 120 - 20 = 100°