Question

Ankita has a farm land which is triangular in shape. What is the sum of all the exterior angles taken in an order of the farm land?
(a) 90°

(b) 180°

(c) 360°

(d) can not be determined

Answer 1

Answer:

(c) 360°

Step-by-step explanation:

Let ABC be a triangle.

• Measure of exterior angle adjacent to ∠A = 180°-∠A

• Measure of exterior angle adjacent to ∠B = 180°-∠B

• Measure of exterior angle adjacent to ∠C = 180°-∠C

• Measure of exterior angles = 180°-∠A+180°-∠B+ 180°-∠C

⇒ 540° -(∠A+∠B+∠C)

⇒ 540°-180° [ sum of all angles of a triangle is 180°]

⇒ 360°

So, sum of all the exterior angles taken in an order of the farmland is 360°.

Answer 2

360degree because the sum of all triangle is 360 degrees