Answer:
m∠1 = 50°
m∠2 = 130°
Step-by-step explanation:
There is a formula:
[tex]\text{angle} = \frac{1}{2} (\text{intercepted arc}_1 + \text{intercepted arc}_2)[/tex]
[tex]\text{m} \angle 1 = \frac{1}{2} (53^\circ + 47^\circ)[/tex]
[tex]\text{m} \angle 1 = \frac{1}{2} (100^\circ)[/tex]
[tex]\text{m} \angle 1 = 50^\circ[/tex]
Angle 1 and angle 2 together form a straight angle, which measures 180°. Angle 1 and angle 2 are suplementary angles.
[tex]\text{m} \angle 1 + \text{m} \angle 2 = 180^\circ[/tex]
[tex]50^\circ + \text{m} \angle 2 = 180^\circ[/tex]
[tex]\text{m} \angle 2 = 180^\circ - 50^\circ[/tex]
[tex]\text{m} \angle 2 = 130^\circ[/tex]
