Question

PLEASE ANSWER!! I don’t understand

Answer 1

Answer:

$m\angle 2=122^{\circ},\\m\angle 1 = 58^{\circ}$

Step-by-step explanation:

By definition, tangent lines touch a circle at one point. This one point intersects the circle at a 90 degree angle.

In any circle, the measure of an inscribed angle is exactly half of the arc it forms. Since $\angle 2$ forms an arc labelled 244 degrees, the measure of angle 2 must be $\frac{244}{2}=\boxed{122^{\circ}}$.

Angle 1 and 2 form one side of a line. Since there are 180 degrees on each side of the line, we have:

$\angle 1+\angle 2=180,\\\angle 1 + 122=180,\\\angle 1=180-122=\boxed{58^{\circ}}$