Question

In the given figure find x + y + z
pls help and answer ASAP ​

Answer 1

Answer:

z=150°

x=90°

y=60°

Step-by-step explanation:

Answers is correct

Answer 2

      $\underline{\bold{Answer:}}$

      $360$°

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

      $\text{In the given figure }\angle{CAB}= {90}$

                                    $\angle{BCA} = 30$

      $\text{We know that internal angles of a triangle sum up to }180$

$\implies \text{In }\triangle{ABC}$

       $\boxed{\angle{ABC}+\angle{BCA}+\angle{CAB} = 180}$

$\implies \boxed{\angle{ABC} + 30 + 90 = 180}$

$\implies \boxed{\angle{ABC}+ 120 = 180}$

$\implies \boxed{\angle{ABC} = 180 - 120 = 60}$

      $\text{We know that angles on a straight line sum up to }180$

$\implies \boxed{z = 180-\angle{BCA} = 180 - 30 = 150}$

$\implies \boxed{y = 180 - \angle{ABC} = 180 - 60 = 120}$

$\implies \boxed{x = 180 - \angle{CAB} = 180 - 90 = 90}$

    $\therefore \boxed{x+y+z = 150 + 120 + 90 = 360}$