Question

Find the m < ABC , need help ASAP

Answer 1

Given :-

AB = AC

Then :-

This triangle is an isosceles triangle .

Let x be the value of ∠CAB . Then, ∠ABC will also have the same value as ∠CAB , since∠CAB and∠ABC are both the opposite base angles of an isosceles triangle .

An equation to find ∠ABC and ∠CAB :-

$= x + x + 60 = 180$

$= 2x + 60 = 180$

$= 2x = 180 - 60$

$= 2x = 120$

$= x = \frac{120}{2}$

$= x = 60$

Which means that the measure of ∠ABC and ∠CAB both are equal to 60°, and this triangle is an equilateral triangle.

Therefore :-

$\color{olive}\bold{m∠ABC\color{hotpink} = 60°}$

Answer 2

$\large{\underline{\underline{\red{\tt{\purple{\leadsto } GiveN\:\: Figure:-}}}}}$

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$\large{\underline{\underline{\red{\tt{\purple{\leadsto } AnsweR:-}}}}}$

It is given that AB = AC . Since two sides of the triangle are equal , hence it must be an isosceles triangle .

And we know that in an isosceles triangle two base angles are equal . So ∠ABC = ∠ ACB = 60° .