Question

if HOPE is a rhombus, then find ZPEO and ZPOE.
In the given figure, if HOPE is a rhombus. the
30°​

Answer 1

Answer:

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Answer 2

Answer:∠PEO is 60°

             ∠POE is also 60°

Step-by-step explanation: In the question it is given that a part of

∠P = 30°, also ∠R ( The point where the diagonals bisect each other perpendicularly ) = 90°, since diagonals in a rhombus bisect perpendicularly.Now for ∠PEO, we can find it by,

= ∠P + ∠R + ∠PEO =  180°

= 30° + 90° + ∠PEO = 180°,

This is because △PER form a triangle whose angle sum is 180°.

Now we can find the angle of ∠POE which is 60°, because the if we make a triangle △PEO it will be an isosceles triangle which means that ∠PEO = ∠POE = 60°.

I hope you might have understood the solution to the problem.