PQRS is a cyclic quadrilateral and angle(pqr)-80 degree,what is the value of angle (rsp)?
Since the two angles are opposite each other they are meant to add up to 180. Hence 180-80=100. Angle RSP=100 degrees
In a cyclic quadrilateral, the opposite angles are supplementary, which means they add up to 180 degrees.
Given that angle PQR is 80 degrees, we can determine that angle PSR is also 80 degrees because they are opposite angles.
Now, to find angle RSP, we subtract 80 degrees from 180 degrees:
180 degrees - 80 degrees = 100 degrees
Therefore, the value of angle RSP is 100 degrees.
To find the value of angle RSP, we need to utilize the properties of a cyclic quadrilateral.
A cyclic quadrilateral is a quadrilateral whose vertices all lie on a circle, which means that opposite angles are supplementary, adding up to 180 degrees.
Given that angle PQR is 80 degrees, we can determine the value of angle RSP by using the property mentioned above.
Since P and Q are opposite vertices of the cyclic quadrilateral PQRS, the sum of angle PQR and angle PSR is 180 degrees:
angle PQR + angle PSR = 180 degrees
Substituting the given value, we have:
80 degrees + angle PSR = 180 degrees
Now we can solve for angle PSR:
angle PSR = 180 degrees - 80 degrees
angle PSR = 100 degrees
Therefore, the value of angle RSP is 100 degrees.