Question

if PQ and PR are the tangents to the circle QOP=70 then QPR is equal to.

Answer 1

is it ok and this is property of cyclic quadrilateral

Answer 2

Answer:

The value of $\angle Q P R$ is 40° in the given circle.

Step-by-step explanation:

Given:

$PQ$ and $PR$ are the tangents to a circle and the value of $\angle QOP =70^{\circ}$.

To Solve:

According to the given question, the picture of the circle will be as follows

Here $\angle PQO =90^{\circ}$ as $PQ$ is the tangent of the given circle.

In the triangle $POQ$ ,

$\angle Q P O+\angle Q O P+\angle P Q O=180$

Put the values in the above equation.

$\angle Q P O+70+ 90=180^{\circ}$

The value of $\angle Q P O=180-(70+90)=20^{\circ}$

The value of $\angle Q P R= 2 \times \angle Q P O$

Put the value of $\angle Q P O$

$\angle Q P R= 2 \times 20= 40 ^{\circ}$

Therefore the value of $\angle Q P R$ is 40° in the given circle.

To know more about the "tangent"

https://brainly.in/question/9395656

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