Question

Guys please someone help I really need this I’ll literally do anything just please someone help meee:(

Answer 1

Answer:

see explanation

Step-by-step explanation:

The 3 arcs AB, BC and CA form the circle and equal 360°, thus

2x + 3x + 4x = 360

9x = 360 ( divide both sides by 9 )

x = 40

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The inscribed ∠ 1 is half the measure of its intercepted arc, that is

∠ 1 = 0.5 × arc BC = 0.5 × 3x = 0.5 × 120° = 60°

The inscribed ∠ 2 is also half its intercepted arc

∠ 2 = 0.5 × BC = 0.5 × 120° = 60°

The angle at the centre ∠ 3 is twice the angle at the circumference ∠ 1

∠ 3 = 2 × ∠ 1 = 2 × 60° = 120°

The triangle OBC is isosceles ( OB = OC, the radii of the circle )

Thus the base angles are congruent, thus

∠ 4 = $\frac{180-120}{2}$ = $\frac{60}{2}$ = 30°