Question

Find the values of x and y in the following figure. 70 80 у X​

Answer 1

Answer:

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Step-by-step explanation:

We know that, exterior angle Sum of opposite interior angles

⇒ x = 70° +80°

:: x= 150°

Answer 2

Answer:

ABCD is a rectangle. We know that the diagonals of the rectangle are equal and bisect each other.

⟹BD=AC and AO=BO=OC=OD

In △ABO,

∠OAB=∠OBA=50∘ ---Angles opposite to the equal sides in a triangle are equal.

In △AOB,

∠AOB+∠OAB+∠OBA=180∘ ---sum of interior angles of a triangle

∴∠AOB=x=180∘−50∘−50∘=80°