Question

If the sum of three exterior angles of a triangle is 360° and
the corresponding interior opposite angles are equal to
each other. Then, find the value of each of the interior angle
of the triangle.
​

Answer 1

Answer:

Step-by-step explanation:

Ratio = 1 : 2 : 3 : 4

Define x:

Let x be the constant ratio

Ratio : 1x  : 2x : 3x : 4x

Solve x:

1x + 2x + 3x + 4x = 10x

10x = 360

x = 36

Find each angle:

x = 36°

2x = 2(36) = 72°

3x = 3(36) = 108°

4x = 4(36) = 144°

Answer: The angles are 36°, 72°, 108° and 144°