Question

The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each exterior angle

Answer 1

Answer:

63, 121 and 176. All angles in degree

Step-by-step explanation:

The exterior angles of the triangle added to their corresponding interior angles equal 180 degrees by virtue of the sum of angles on a straight line.

As such the interior angles are

1. 180 - (x+ 3)

2. 180 - (2x+ 1)

3. 180 - (3x - 4)

Given that the sum of angles in a triangle is 180 degrees

180 - (x+ 3) +  180 - (2x+ 1) + 180 - (3x - 4) = 180

540 - 6x = 180

6x = 540 - 180

6x = 360

x = 60

The exterior angles are

x + 3 = 60 + 3 = 63

2x + 1 = 2(60) + 1 = 121

and

3x - 4 = 3(60) - 4 = 180  - 4 = 176

Answer 2

X+3+2x+1+3x-4=180(the sum of all angles of a triangle is always 180 )
so 6x=180
x=30
x+3=33
2x+1=61
3x-4=86 are the required anglea