Question

87. What is the value of x in the figure. x Х 30° 120°​

Answer 1

Answer:

thank me

Correct option is

D

180

∘

Let the point of intersection of the diagonals of the rectangle be O.

Given ∠OPQ=30°

∴∠SPO=60° Similarly ∠RQO=60°

As its a rectangle, all the angles are 90°.

∴∠PQR=∠PQO+∠OQR

=30°+60°

=90°

∴∠OQR=60° i.e, x=60°

From △POQ

Sum of angles of △les =180°

⇒∠OPQ+∠PQO+∠POQ=180°

∴∠POQ=180°−30

o

−30

o

=120°

i.e, ∠POQ=∠SOR=120°=y [ i.e, opposite angles ]

∴ Sum of x+y=120°+60°=180°.

Hence, the answer is 180°.

Answer 2

Answer:

180

Step-by-step explanation:

Solve yourself