Question

In figure, if ∠DAB = 60° , ∠ABD = 50°, then find ∠ACB

Answer 1

Step-by-step explanation:

Given:-

In figure, if ∠DAB = 60° , ∠ABD = 50°, then find ∠ACB

To find:-

To find angle ACB

Solution:-

In △ADC, we have

∠DAC=60°and ∠ABD=50°

By angle sum property, in △ABD

∠DAB+∠ABD+∠ADB=180°

=>60° +50°+∠ADB=180°

=>∠ADB=180°−110°

=>∠ADB=70°

We know that the angles subtended at the circumference by the same arc are equal.

∴∠ADB=∠ACB

=>∠ACB=70°

This is your answer.