Congruent Triangles std8 Page-35.2 EM

⚪ Circle Geometry | Triangle AOB

O is the center | A and B are points on the circle | OA = OB (radii) | ∠O = 60°

⚪ Circle with center O 📍 A and B are points on the circle 📐 OA = OB (radii of the same circle) 📐 ∠AOB = 60°

✍️ Find the other two angles of triangle AOB

1 Identify the triangle type

In triangle AOB, OA = OB. What type of triangle is it?

2 Property of isosceles triangle

In an isosceles triangle with OA = OB, which angles are equal?

3 Angle sum property

What is the sum of all three angles in any triangle?

4 Set up the equation

Let ∠A = ∠B = x. Given ∠O = 60°. Write the equation.

5 Simplify the equation

60 + 2x = 180 simplifies to:

6 Solve for x

2x = 120, therefore x = ?

7 Value of ∠A

∠A = ? degrees

8 Value of ∠B

∠B = ? degrees

9 Verification

Check: 60° + 60° + 60° = ?

10 Final answer

The other two angles are: