Problem preview

G-C.3 Warmup M2-031-A11-V02

Construct inscribed/circumscribed circles of triangles and prove angle properties of cyclic quadrilaterals.

Solve for a variable using supplementary opposite angles in a cyclic quadrilateral

Problem

Solve for the variable in cyclic quadrilateral \(PQRS\) with opposite angles \(2x+15^{\circ}\) and \(x+45^{\circ}\).

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x = 35

x = 40

x = 20

x = 60

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Curriculum context

Course: Math II
Standard: G-C.3
Category: Geometry
Domain: Circles
Objective: Construct inscribed/circumscribed circles of triangles and prove angle properties of cyclic quadrilaterals.
Problem type: Solve for a variable using supplementary opposite angles in a cyclic quadrilateral