Question

in the given fiqure PQRS is a rectangle find the value of X,Y andZ​

Answer 1

We know that each interior angles are 90°

Then

Angle OSP = 30 + x

90 = 30 + x

90 - 30 = x

x = 60

Hence value of x is 60

In a rectangle diagonals Bisect each other and diagonals are equal.

In the rectangle, OQ = 2cm

OS will also be equal to 2cm

Diagonal SQ = 4cm

Diagonal PR = 4cm

OP = 3y + 5

2 = 3y + 5

2 - 5 = 3y

-3 = 3y

-3/3 = y

y = (-1)

Value of y = (-1)

Z = 60 ( Alternate interior angles)

Answer 2

Step-by-step explanation:

each angles of rectangle =90degree

x+30=90

x=60

x=z=60

3y+5=2 (diagonals of rectangle are equal and bisecte each other)

3y=2-5=-3

y=-3/3=-1