Question

1. what is the measure of angle a? 202° 44° 22° 79°

Explanation:

Step1: Find the reflex angle

The total degrees around a point is $360^\circ$. The given angle is $158^\circ$, so the reflex angle is $360^\circ - 158^\circ = 202^\circ$.

Step2: Calculate angle A

Angle A is half the difference between the reflex angle and the straight line ($180^\circ$). So, $\frac{202^\circ - 180^\circ}{2} = \frac{22^\circ}{2} = 11^\circ$? Wait, no—correction: The external angle of a triangle formed by two tangents is half the difference of the intercepted arcs. The intercepted arcs are $158^\circ$ and $360^\circ - 158^\circ = 202^\circ$. So angle A = $\frac{202^\circ - 158^\circ}{2} = \frac{44^\circ}{2} = 22^\circ$.

Answer:

22°