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 = (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:-}}}}}`

`\setlength{\unitlength}{1 cm}\begin{picture}(12,8)\put(0,0){\line(1,0){4}}\put(4,0){\line(-1,2){2}}\put(2,4){\line( -1, - 2){2}}\put(2,4.2){$\bf B $}\put(0, - 0.3){$\bf A $}\put(4, - 0.3){$\bf C $}\put(2,0.2){\line(0,-1){0.4}}\put(0.8,2){\line(1,-2){0.2}}\put(3.3,0.1){$\sf 60^(\circ)$}\end{picture}`

`\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° .