Question

Solve for the variables.

if a quadrilateral is inscribed in a circle, it's opposite angles are supplementary.​

Answer 1

The variables:

y= 5

x = 25

Explanation:

The question is incomplete without the diagram. Find attached the diagram.

Opposite angles of a quadrilateral in an inscribed circle is supplementary. That is their sum is equal to 180°.

∠A + ∠C = 180°

∠B + ∠D = 180°

26y + 2x = 180° ....(1)

21y + 3x = 180° ....(2)

Since we have two unknowns, let's find them using elimination method.

Find attached the solution for the question.