Problem preview
G-C.3 Warmup M2-031-A08-V04

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

Find a missing angle in a cyclic quadrilateral using opposite supplementary angles

Problem

In cyclic quadrilateral \(EFGH\), angle \(E\) is opposite angle \(G\). If angle \(G~=~3x~+~15^{\circ}\), find angle \(E\).

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Four variants of this problem type
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
Find a missing angle in a cyclic quadrilateral using opposite supplementary angles