Question

. If the measures of two external angles of a triangle are 60° and 130° respectively, then
which type of triangle is it?
Y) Acute angled triangle (2)
Obtuse angled triangle
(3) Right angled triangle (4)
Equilateral triangle​

Answer 1

Answer:

2) obtuse angle is 120

4} equilateral triangle is 60

Answer 2

The triangle is an obtuse angled triangle. (Option 2)

• Given data :

Two external angles of the given triangle are 60° and 130°.

• Now,the sum of the internal angle of a triangle and it's respective external angle is always 180°.

• So, no. 1 angle of the triangle will be

= 180° - 60°

= 120°

• So, no. 2 angle of the triangle will be

= 180° - 130°

= 50°

• So,no. 3 angle of the triangle will be

= 180° - (120°+50°)

= 10°

• Now,the no. 1 angle of this triangle is an obtuse angle (lies between the range of 90° and 180°).

• So,the given triangle is an obtuse angled triangle. (Answer)