Question

1. Find m/1
(A) 60°
(I) 5°
55°
(E) 90°
65°

Answer 1

1. 60°

2. 22.5°

Explanation:

1.The measure of the angle formed by two chord that intersect inside the circle is half the sum of the chords' intercepted arcs.

`\sf \angle 1 = (55+65)/(2)`

`\sf =(120)/(2)\\\\= 60^\circ`

2. The measure of an angle formed by a secant and a tangent drawn from outside the circle is half the difference of the intercepted arcs.

`\sf\angle N = (80-35)/(2)`

`=(45)/(2)\\\\= 22.5^\circ`