If we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
What is an angle?
Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.
Here Given in the question that Point C is movable and it moves towards point B.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same. Therefore ∠ABC will remain the same.
If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.
If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.
Therefore if we take point C closer towards point B, then ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.
If we take point C far from point B, then the thing will be reversed except ∠ABC.
Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.
Learn more about the angle
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