Find the value of x, y, and z.

x = 96°; y = 84°; z = 41°


x = 84°; y = 96°; z = 0°


x = 55°; y = 125°; z = 41°


x = 96°; y = 52°; z = 41°

Find the value of x y and z x 96 y 84 z 41 x 84 y 96 z 0 x 55 y 125 z 41 x 96 y 52 z 41 class=
Find the value of x y and z x 96 y 84 z 41 x 84 y 96 z 0 x 55 y 125 z 41 x 96 y 52 z 41 class=

Respuesta :

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

x = 180° - (52 + 32)° = 180° - 84° = 96°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle, thus

y = 52° + 32° = 84°

z = 180° - (55 + 84)° = 180° - 139° = 41°

In conclusion

x = 96°, y = 84° and z = 41°