Identify the relationship between and .

Question

Identify the relationship between and .

Asked on April 25, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-04-25T15:48:34.230Z

Here are the solutions for question 21: a) Find $\angle$CBD Step 1: Identify the relationship between $\angle$CAD and $\angle$CBD. $\angle$CAD and $\angle$CBD are angles subtended by the same arc CD at the circumference. Angles subtended by the same arc at the circumference are equal. $$ \angle\text{CBD} = \angle\text{CAD} $$ $$ \angle\text{CBD} = 30^\circ $$ Reason: Angles in the same segment are equal. The final answer is $\boxed{\text{30}^\circ}$. b) Find $\angle$OBD Step 1: Find $\angle$BOC. Since A, O, C are collinear and AE is a straight line, $\angle$AOB and $\angle$BOC are supplementary angles. $$ \angle\text{BOC} = 180^\circ - \angle\text{AOB} $$ $$ \angle\text

Accepted Answer · 2026-04-25T15:48:34.230Z

Here are the solutions for question 21: a) Find $\angle$CBD Step 1: Identify the relationship between $\angle$CAD and $\angle$CBD. $\angle$CAD and $\angle$CBD are angles subtended by the same arc CD at the circumference. Angles subtended by the same arc at the circumference are equal. $$ \angle\text{CBD} = \angle\text{CAD} $$ $$ \angle\text{CBD} = 30^\circ $$ Reason: Angles in the same segment are equal. The final answer is $\boxed{\text{30}^\circ}$. b) Find $\angle$OBD Step 1: Find $\angle$BOC. Since A, O, C are collinear and AE is a straight line, $\angle$AOB and $\angle$BOC are supplementary angles. $$ \angle\text{BOC} = 180^\circ - \angle\text{AOB} $$ $$ \angle\text

Identify the relationship between and .