Question

Rose watches a circular ornament that has 6 equally spaced stones. identify x

Answer 1

Answer:

x = 60°

Step-by-step explanation:

It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,

mAB◠ = 60∘

mBC◠ = 3 (60∘)  = 180∘

If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.

x = 1/2 (mBC◠ − mAB◠)

Substitute the known values into the formula.

x = 1/2 (180∘ − 60∘)

= 1/2 (120∘)

= 60∘

Therefore, x = 60∘.