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°.
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