Question

In figure if angle OAB=40 then find angle ACB

Answer 1

Your answer is here:--

Answer 2

Given:

• ∠OAB = 40°

To Find:

• ∠ACB

Solution:

• From the given figure we can come to a few conclusions like,
• OA = OB (∵ radius of circles are same)
• ∠OAB = ∠OBA (∵ Opposite angles of a triangle are equal)
• ∠OBA = 40°
• The sum of all the three angles of a triangle shoud be 180°.
• So, In ΔOAB, ∠OAB+∠OBA+∠AOB = 180°
• 40°+40°+∠AOB = 180°
• ∠AOB = 180° - 80° = 100°
• We know that, ∠ACB = $\frac{1}{2}$ ∠AOB
• ∠ACB = 100°/2 = 50°
• ∠ACB = 50°

∴ The measure of ∠ACB = 50°.