Find the value of x in each case. Give reasons to justify your solutions!
BRAINLY WILL BE GIVEN AND I WILL LIKE BOW DOWN TO YOU SO PLEASE SOLVE IT OTherWISE MY MATH TEACHER WILL KILL ME

Q ∈ PR


Find the value of x in each case Give reasons to justify your solutionsBRAINLY WILL BE GIVEN AND I WILL LIKE BOW DOWN TO YOU SO PLEASE SOLVE IT OTherWISE MY MAT class=

Respuesta :

Answer: x = [tex]52^{0}[/tex]

Step-by-step explanation:

The exterior angle of a triangle = sum of the opposite interior angle.

The interior angles given are : [tex]34^{0}[/tex] and [tex]90^{0}[/tex]

Which are opposite to x + 72

Therefore :

x + 72 = [tex]34^{0}[/tex] + [tex]90^{0}[/tex]

x + 72 = [tex]124^{0}[/tex]

x = [tex]124^{0}[/tex] - [tex]72^{0}[/tex]

x = [tex]52^{0}[/tex]

All angles in a triangle add up to 180, so you can do 180-90-34 to get angle Q (56). Since there is a straight line, both angle and add up to 180. 56+x+72=180. X is 52