Here's how to solve the problem step-by-step:
Given information:
• Points A, B, C, D, E are on the circumference of a circle with center O.
• BD=BE (This means △BDE is an isosceles triangle).
• ∠CAD=18∘.
• ∠BEC=51∘.
Key Circle Theorems:
- Angles subtended by the same arc at the circumference are equal.
- In an isosceles triangle, the angles opposite the equal sides are equal.
- The sum of angles in a triangle is 180∘.
a) Find ∠ADC.
Step 1