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andreev551 [17]
4 years ago
10

Given: BDis a diameter m 1 = 100° m BC= 30° m2 = 30 80 100

Mathematics
2 answers:
iren [92.7K]4 years ago
8 0

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:

m\angle 1+m\angle 2=180^{\circ}

100^{\circ}+m\angle 2=180^{\circ}

100^{\circ}-100^{\circ}+m\angle 2=180^{\circ}-100^{\circ}

m\angle 2=80^{\circ}

Therefore, measure of angle 2 is 80 degrees and option B is the correct choice.

skad [1K]4 years ago
4 0

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°

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