Question

I NEED this answered within the next 30 minutes! Please it is simple. There is an error in this. What is it?

Answer 1

(a). x = 80°

(b). x = 7.2 units

Explanation:

Angle formed between the tangents from a point outside the circle measure the half of the difference of intercepted arcs.

(a). Here the intercepted arcs are,

Measure of major arc = 360° - 100°

= 260°

Measure of minor arc = 100°

x° =
`(1)/(2)[m(\text{Major arc})-m(\text{Minor arc})]`

=
`(1)/(2)(260-100)`

x = 80°

(b). If a secant and tangent are drawn form a point outside the circle, then square of the measure of tangent is equal to the product of the measures of the secant segment and and its external segment.

x² = 4(4 + 9)

x² = 4 × 13

x² = 52

x = √52

x = 7.211 ≈ 7.2 units