Question

Help me! l want the correct answers °_°​

Answer 1

Answer:

see explanation

Step-by-step explanation:

(a)

The angle on the circumference is half the central angle , that is

∠ A = ∠ BOC ÷ 2 = 50° ÷ 2 = 25°

(b)

Δ AOC is isosceles ( OA = OC , radii of the same circle ) then the base angles are congruent , that is

∠ ACO = ∠ A = 25°

(c)

Δ BOC is isosceles ( OB = OC, radii of the same circle ) then the base angles are congruent, that is

∠ BCO = $\frac{180-50}{2}$ = $\frac{130}{2}$ = 65°

(d)

∠ ACO + ∠ BCO = 25° + 65° = 90° ( angle in a semicircle )