Answer:
To solve this problem, we need to use the properties of inscribed quadrilaterals and the relationships between the angles and sides of a circle.
Given information:
- Quadrilateral OPQR is inscribed inside a circle.
Step 1: Identify the properties of an inscribed quadrilateral.
In an inscribed quadrilateral, the opposite angles are supplementary, meaning their sum is 180 degrees.
Step 2: Set up an equation to find the measure of angle P.
Let the measure of angle P be y.
Since the opposite angles of the inscribed quadrilateral are supplementary, we can write:
y + (3y + 8) = 180 degrees
Step 3: Solve the equation for y.
y + (3y + 8) = 180
4y + 8 = 180
4y = 172
y = 43 degrees
Therefore, the measure of angle P is 43 degrees.
Step-by-step explanation:
I hope it helps hehehe