Question

An angle is 60° less than half of its supplement . Find the measure of the angle​

Answer 1

Answer:

60°

Step-by-step explanation:

. x,y ; y = (x-60)

. x + (x-60) = 180

. 2x = 240

. x = 120

. y = (x-60)

=120-60

=60°

Answer 2

      $\underline{\bold{Answer:}}$

      $60^{o}$

      $\underline{\bold{Step-by-step-explaination:}}$

      $\text{It is given that an angle is }60^{o} \text{ less than half of its supplement }$

      $\text{Let the angle be }x$

      $\text{The supplement of an angle is basically }180-(\text{the angle itself})$

$\implies \boxed{x = (180-x)-60}$

$\implies \boxed{x = 120-x}$

$\implies \boxed{2x = 120}$

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

$\implies \boxed{x = 60^{o} }$

  $\therefore \text{ The angle is }60^{o}$