If You Can Solve This, You’re a Genius! Circle Theorem Challenge

Описание: In this video, we solve a Circle Theorem problem involving angles in a cyclic quadrilateral and external angles.
The goal is to calculate the marked angle x using clear and simple geometric rules.

This question involves:

A cyclic quadrilateral inside a circle

An external angle of 118° at point C

An interior angle of 46° opposite x

The theorem “Exterior angle of a cyclic quadrilateral = interior opposite angle”

Additional angle relationships inside the circle


In the lesson, I break the problem down step-by-step so you can follow the reasoning easily. You will learn how to:

Apply Circle Theorems correctly

Identify interior and exterior opposite angles

Use alternate segment ideas when necessary

Form equations to solve for x

Avoid common mistakes students make in exam questions