Question

To verify the Exterior angles Property of a Triangle.​

Answer 1

Step-by-step explanation:

Answer: We know that the sum of exterior angles of a polygon is always 360°. The sum of exterior angles of a triangle is 360°. To verify that the exterior angle of a triangle is greater than either of its opposite interior angles.

Answer 2

$\Large{\textsf{\pink{\underline{ANSWER}}}}$

★ TO VERIFY : Exterior angles Property of a Triangle

★ PROOF :

• Let the exterior angle be angle 4
• Let the interior angles be angle 1, angle 2 ,angle 3

= 1 + 2 + 3 = 180(angle sum prop.)

= 3 + 4 = 180(linear pair)

= 1 + 2 + 3 = 3 + 4

= 1 + 2 + 3 - 3 = 4

= 1 + 2 = 4 (proved)

† NOTE : FOR FIGURE , REFER TO THE ATTACHMENT .