Question

In the figure given alongside, PORS is a rhombus. Find measures of angles x and y. angle 40 degree​

Answer 1

Step-by-step explanation:

From the figure it is given that, PQRS is a kite.

∠Q=120

∘

∠R=50

∘

Then, ∠Q=∠S

So,x=120

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We know that sum of all angles of Rhombus is equal to 360

∘

.

∠P+∠Q+∠R+∠S=360

∘

y+120

∘

+50

∘

+120

∘

=360

∘

y+290

∘

=360

∘

By transposing we get, y=360

∘

−290

∘

y=70

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Therefore, the value of x=120

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and y=70