Question

if one of the exterior angles of a triangle is 105°and the interior opposite angles are in the ration of 3:4,then find all the interior angles of the triangle ​

Answer 1

Answer:

Question :

If one of the exterior angles of a triangle is 105°and the interior opposite angles are in the ration of 3:4,then find all the interior angles of the ttriangle.

Answer :

To find :

Find all the interior angles of the triangle.

Need to know :

• The sum of angles in a triangle is 180°.

• Sum of angles in a straight line is 180°

Step by step procedure :

If the exterior angle is 105°,then interior angle of the triangle is 180°-105° = 75°

Answer 2

Answer:

Let the interior angles be 3x and 4x

Now, we know that a linear is 180°

Therefore, 180-105=75

75° is one of the angle

We know, all interior angles of triangle=180°

3x+4x+75=180

7x=180-75

7x=105

x=105/7

x=15

Therefore, angle 3x= 3×15= 45°

Angle 4x=4×15= 60°

All the angles are 75°,45°,60°

The above answer is only half