Question

one of the exterior angles of a triangle is 110 degree and the interior opposite angles are in the ratio 6 : 5 Find the angles of the triangle

Answer 1

the opposite interior angles are let X and y

now ...X+y=110°

and X:y=6:5

therefore...

$x = 110 \times \frac{6}{6 + 5} = 60 \\ \\ y = 110 \times \frac{5}{6 + 5} = 50$

Answer 2

Answer:

50° , 60° , 70 °

Step-by-step explanation:

Ratio of interior opposite angle =6:5

Exterior Angle = 110°

Sum of two interior opposite = Exterior Angle

Let Angles Be = 6x & 5x

6x + 5x = 110°

11x = 110°

x = 110°/11

x= 10°

Angle 1 = 10 × 6 = 60°

Angle 2 = 10 × 5 = 50°

Angle 3 = 180° - (60°- 50°)

= 180°- 110°= 70°ANS