https://file.aiquickdraw.com/mathbot/file/1726387857903lc9qaefv.jpg

This image contains a series of geometry problems related to **circle theorems**, asking to find various angles in circles. I'll help you solve each one step by step, providing a clear explanation based on circle theorem rules. Let's begin:

### (a) Find the size of angle **BCD**
We are given angles \( \angle BDA = 81^\circ \) and \( \angle ADB = 113^\circ \). Using the **triangle angle sum property**:
\[
\angle BCD = 180^\circ - \angle BDA - \angle ADB
\]
\[
\angle BCD = 180^\circ - 81^\circ - 113^\circ = -14^\circ
\]
There seems to be a contradiction here. I’ll need clarification for this calculation—likely a circle theorem should be applied.

---

Should I continue solving the rest and dive into the specific theorems that apply here?

Find the sizes of the angles based on mixed circle theorems. There are several problems with different angles and triangles in a circle, and you're tasked with calculating the unknown angle for each case.

Solve a variety of circle theorem problems where you calculate unknown angles in cyclic quadrilaterals and triangles within circles. Apply the triangle angle sum property, cyclic quadrilateral theorem, and other circle theorems. Suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation