Question

36°
The adjacent angles 21 and 22 have measures of:
38, 142
76, 104
28, 152

Answer 1

38,142.

Explanation:

The measure of angle 1 = the sum of the measure of the 2 arcs / 2

= (36 + 40) / 2

= 38 degrees.

Answer 2

Option "A" might be the correct option

Explanation:

By the Angles of Intersecting Chords Theorem, When two chords intersect inside a circle, then the measure of the angle formed is one half the sum of chord's intercepted arcs.

In the diagram : -

⇒ ∠ 1 = 38°

Now, again by the diagram,

∠1 and ∠2 are linear pairs,

⇒ ∠1 + ∠2 = 180°

⇒ 38° + ∠2 = 180°

⇒ ∠2 = 142°