Answer:
∠2 = 80°
Step-by-step explanation:
Since BD is a diameter then
∠1 + ∠2 = 180°, that is
100° + ∠2 = 180° ( subtract 100° from both sides )
∠2 = 180° - 100° = 80°
Answer:
B. 80
Step-by-step explanation:
We have been given a circle. We are asked to find the measure of angle 2.
Since BD is diameter of our given circle, so angle 1 and angle 2 will be linear pair of angles.
We know that linear angles add up-to 180 degrees, so we can set an equation as:
[tex]m\angle 1+m\angle 2=180^{\circ}[/tex]
[tex]100^{\circ}+m\angle 2=180^{\circ}[/tex]
[tex]100^{\circ}-100^{\circ}+m\angle 2=180^{\circ}-100^{\circ}[/tex]
[tex]m\angle 2=80^{\circ}[/tex]
Therefore, measure of angle 2 is 80 degrees and option B is the correct choice.
