A circle is shown. Points X and Z are on one side of the circle, and point Y is on the other. Lines are drawn from point Y to point X and from point Y to point Z to form angle X Y Z. Arc X Z is 86 degrees.
What is the measure of ∠Y?

43°
68°
86°
172°

Given:

Circle with intercepted arcs.

To find:

Is the measure of ∠1 equal to the measure of ∠2.

Solution:

∠1 and ∠2 are in same intercepted arc 106°.

Inscribed angle theorem:

If two inscribed angles of a circle intercept the same arc, then the angles are congruent.

⇒ m∠1 = m∠2

The measure of ∠1 equal to the measure of ∠2

The solution is yes, because they intercept the same arc.

1/3 + 1/5 = 8/15.

step-by-step explanation:

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