Question

CORRECT ANSWER WILL BE MARKED BRAINLIEST

Find the magnitude of an angle, which is...

a) 2/3 of its supplement

Answer is 72 but I don't know steps

Answer 1

Let the angle be a

Supplement angle = 180 - a

According to question,

a = 2 /3 ( 180-a)

=> a = ( 360 - 2a) /3

=> 3a = 360 - 2a

=> 5a = 360

=> a = 72

Required angle = 72°

Answer 2

[tex]\text{Let the angle be $x \°$} \\ \\ \text{Now, its supplement will be $(180 - x) \°$} \\ \\ \text{According to the Question, $x = \frac{2}{3}(180-x)$} \\ \\ \\ \implies x = 120 - \frac{2}{3} x \\ \\ \\ \implies x + \frac{2}{3} x = 120 \\ \\ \\ \implies \frac{3x + 2x}{3} = 120 \\ \\ \\ \implies \frac{5}{3}x = 120 \\ \\ \\ \implies x = 120 \times \frac{3}{5} = 72 \° \\ \\ \\ \boxed{\text{Thus, the required angle is \boxed{72 \°} .}} \\ \\ \mathfrak{Hope \: It \: Helps \: @Ananya2312 \: !!}[/tex]