Question

in a circle, angle ABC = 69° , angle ACB = 31°. Find angle BDC
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Answer 1

Answer:

Angle B D C = 80 Degree

Step-by-step explanation:

According to the information provided in the question it is given as

In a circle, angle ABC = 69° ,

angle A CB = 31°.

We need to find Find angle B DC

Here it is given as in a circle and two angles are given means there is a Triangle in the circle we need to find the third angle of triangle

A triangle's angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the third angle to make a 180 angle.

Hence

Angle ABC  + Angle A CB + Angle B DC = 180

Now substituting the values we get the third angle

69 + 31+ Angle B DC = 180

100+Angle B DC = 180

Angle B DC = 180 - 100

Angle B DC = 80

Hence the angle B D C = 80 Degree

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