Q. 65.0( 2 Votes )

Let’s write the measurement of ACB and BAC if AB = AC.



Answer :

Given: ΔABC, ABC = 70° and AB = AC


To find the measurement of ACB and BAC


Now in ΔABC, it is given AB = AC


We know angles opposite to equal sides are equal, therefore


⇒∠ACB = ABC


Substituting given value in the above equation, we get


⇒∠ACB = 70°…….(i)


We also know in a triangle the sum of all three interior angles is equal to 180°.


So in this case,


BAC + ACB + ABC = 180°


Substituting the values from equation(i) and given criteria, we get


BAC + 70° + 70° = 180°


BAC = 180° - 70° - 70°


BAC = 40°


From equation (i) and (ii), the required values of the angles are


ACB = 70° and BAC = 40°


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