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------------------------------------------------ What is the value of p?


116

180

58

90

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Answer :

Answer:

D) 90°

Step-by-step explanation:

Here we are given a cyclical quadrilateral.

We have to use the property of quadrilateral to find the value p.

i) In a quadrilateral adjacent angles add upto 180 degrees.

ii) Opposite angles add upto 180 degrees.

Here the following angles are the opposite to each other.

∠p = 90°

∠q = 58°

The opposite angles add upto 180 degrees.

∠p + 90° = 180

Subtract 90° on both sides, we get

∠p + 90° - 90° = 180° - 90°

∠p = 90°

The answer is D) 90°

The value of angle ∠p is 122°.

In a cyclic quadrilateral, the opposite angles are supplementary, which means they add up to 180 degrees. Given that ∠q = 58° is opposite to ∠p, we can use this property to find the value of ∠p.

Let ∠p be the unknown angle we need to find.

Since ∠p and ∠q are opposite angles, we have:

∠p + ∠q = 180°

Substitute the value of ∠q, which is 58°:

∠p + 58° = 180°

Now, isolate ∠p by subtracting 58° from both sides:

∠p = 180° - 58°

∠p = 122°

Therefore, the value of ∠p is 122°.

To know more about angle:

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