Question

Points A, B, and C are on line AC. Angle CBD has a measure of 140°. What is the measure of angle ABD? 40° 50° 60° 70°

Answer 1

Answer: The correct option is 1 and measure is 40.

Explanation:

It is given that points A, B, and C are on line AC. Angle CBD has a measure of 140°.

Draw a diagram using given information,

From the figure it is noticed that the angle CBD and angle ABD are lies on straight line and lies on the same arc. So, the angle CBD and angle ABD are supplementary angles and their sum is 180 degree.

$\angle ABD+\angle CBD=180$

$\angle ABD+140=180$

$\angle ABD=180-140$

$\angle ABD=40$

Therefore, the correct option is 1.

Answer 2

Answer:

OPtion A. 40°

Step-by-step explanation:

Three points A, B, and C are on a straight line. Angle CBD has a measure of 140°then we have to calculate the measure of angle ABD.

As we know two angles at a point and on a straight line supplement each other.

Therefore ∠CBD + ∠ABD = 180°

∠ABD + 140 = 180

∠ABD = 180 - 140 = 40°

Therefore ∠ ABD will measure 40°.

Option A. 40° is the answer.