Question

An exterior angle of a triangle is of measure 110Degree and the interior opposite angle are in ratio 3:8 Find the measures of all the triangel.​

Answer 1

Answer:

The angles are 36,72 and 108.

Step-by-step explanation:

Given the exterior angle of a triangle measure 110 degrees.

Given the interior angles are in the ratio 2x and 3x.

We know that sum of interior angles = 180.

2x + 3x = 180

5x = 180

x = 36.

Then 2x = 72 and 3x = 108.

The angles are 36,72 and 108.

Answer 2

Answer:

$let \: the \: ratio \: be \: in \: form \: of \: x \\ interior \: opposite \: angle \: 1 = 3x \\ interior \: opposite \: angle \: 2 = 8x \\ \\ according \: to \: the \: question \\ 3x + 8x = 110 \\ 11x = 110 \\ x = \frac{110}{11 } \\ x = 10$

Let the angles of the triangle be 1 2 and 3

angle 1=3x=3×10=30°

angle 2=8x=80°

angle 3= 180°-(30°+80°)=180°-110°=70°