Question

please solve in details...I will mark as brainliest...​

Answer 1

Answer:

Exterior angle = 100°

Interior angle = (180-100)° = 70°

Sum of the angles of a triangle = 180°

(2x+3x+70)°=180°

5x+70=180

5x=180-70

x=110/5

x=22°

1st angle = 70°

2nd angle = 2x = 22×2 = 44°

3rd angle = 3x = 22×3 = 66°

Answer 2

Given:

One of the exterior angle is 100°.

Ratio of the interior opposite angles is 2:3.

To Find:

The angles of the triangle.

Step-by-step explanation:

Exterior angle = 100°

Ratio 2:3 = 2x:3x

Interior angle = (180-100)° = 70°

Adding all angles = (2x+3x+70)°

As, we know sum of the angles of a triangle = 180°

(2x+3x+70)° = 180°

5x+70 = 180

5x = 180-70

x = $\frac{110}{5}$

x = 22°

1. First angle = 70°
2. Second angle is 2x = 22×2 = 44°
3. Third angle is 3x = 22×3 = 66°

Angles of the triangle are 70°, 44° and 66°.