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• Geometry
• Circles
• Inscribed and Central Angles in Circles

# Inscribed and Central Angles in Circles

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•  Question 1: 1 pts Find is the measure of angle $\beta$ shown on the picture.
 $\beta=72^{\circ}$ $\beta=48^{\circ}$ $\beta=36^{\circ}$ $\beta=18^{\circ}$
•  Question 2: 1 pts Find is the measure of angle $\alpha$ shown on the picture.
$\alpha=$
•  Question 3: 1 pts Find is the measure of angle $\alpha$ shown on the picture.
 $75^{\circ}$ $60^{\circ}$ $45^{\circ}$ $30^{\circ}$
•  Question 4: 1 pts Find is the measure of angle $\beta$ shown on the picture.
 $\beta=72^{\circ}$ $\beta=54^{\circ}$ $\beta=108^{\circ}$ $\beta=126^{\circ}$
•  Question 5: 2 pts Find is the measure of angle $\beta$ shown on the picture.
$\beta=$
•  Question 6: 2 pts Find is the measure of angle $\alpha$ shown on the picture.
$\alpha=$
•  Question 7: 2 pts Find is the measure of angle $\alpha$ shown on the picture, if $\alpha + \beta=78^{\circ}.$
 $\alpha=52^{\circ}$ $\alpha=26^{\circ}$ $\alpha=39^{\circ}$ $\alpha=108^{\circ}$
•  Question 8: 2 pts Find is the measure of angle $\beta$ shown on the picture, if $\alpha + \beta=100^{\circ}.$
 $\beta=66^{\circ}30^{'}$ $\beta=33^{\circ}40^{'}$ $\beta=66^{\circ}20^{'}$ $\beta=33^{\circ}20^{'}$
•  Question 9: 3 pts $BC$ is a chord of a circle whose central angle is $68^{\circ}34^{'}.$ If $A$ is a point on arc $BC,$ at which angle from the point $A$ we can see the chord $BC?$
 $125^{\circ}43^{'}$ $34^{\circ}17^{'}$ $68^{\circ}30^{'}$ $145^{\circ}43^{'}$
•  Question 10: 3 pts At which angle from the point $C$ we can see the chord $AB?$