Given:
Measure of one arc 106°
Measure of another arc 36°.
To find:
The measure of ∠1
Solution:
If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
[tex]$\Rightarrow m\angle 1=\frac{1}{2} (106^\circ - 36^\circ)[/tex]
[tex]$\Rightarrow m\angle 1=\frac{1}{2} (70^\circ)[/tex]
[tex]$\Rightarrow m\angle 1=35^\circ[/tex]
The measure of angle 1 is 35°.
