Question

3. State Interior angle sum property of a Triangle.​

Answer 1

The interior angle sum property is property which sum of two interior angle is equal to exterior angle

Answer 2

$\huge\mathfrak\red{✵Answer✵}$

$\huge\bold{Statement}$

A Total measure of the three angle of the triangle is 180°

( refer the attachment for daigram)

$\huge\bold{Given}$

∠1 , ∠2 , ∠3 are the angle of ∆PQR

∠4 is in exterior angle when QR is extended to S

$\huge\bold{To prove}$

∠1 + ∠2 + ∠3 = 180°

$\huge\bold{Proof}$

∠1 + ∠2 = ∠4 [ by exterior angle property]

∠1 + ∠2 + ∠3 = ∠4 + ∠3 [ add ∠3 on both side]

Here: ∠4 + ∠3 ( a linear pair ,so the sum is 180°)

Thus ; ∠1 + ∠2 + ∠3 = 180°

$\huge\bold{Hence proved}$