32) In a triangle, the exterior angle is twice of each of the interior remote angles. The exterior angle is 1200. Find the measure of the three angles of the triangle.

60 degrees each

Step-by-step explanation:

For the triangle, the sum of the interior angles is equal to the exterior

Let x and y be interior

Let z be the third angle

w be the exterior

w = x+y

120 = x+y

If the exterior angle is twice of each of the interior remote angles, then;

2x = 2y

x = y

120 = x+x

2x = 120

x = 60

Since x = y, y  = 60 degres

From the triangle, the third angle will be 180 - 120

z = 180-120

z = 60

The measures of the 3 angles are 60 degrees each

add an !

step-by-step explanation:

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: