Q. 25.0( 1 Vote )

# Let's write the r

Answer :

We know in a triangle the sum of all three interior angles is equal to 180°.

So in ΔPRS,

∠PQR+∠QRP+∠RPQ=180°

⇒ ∠PQR+∠RPQ =180°-∠QRP………….(i)

Now QRS is a straight line, so

∠QRS=180°

⇒ ∠QRS=∠QRP+∠PRS=180°

⇒ ∠PRS=180°-∠QRP………(ii)

Substituting equation (ii) in equation (i), we get

∠PQR+∠RPQ=∠PRS

Hence the measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles.

Rate this question :

Let's try to writWest Bengal - Mathematics

Let's write by caWest Bengal - Mathematics

In ΔABC, the exteWest Bengal - Mathematics

Let’s write the mWest Bengal - Mathematics

Let's write the mWest Bengal - Mathematics

If we produce theWest Bengal - Mathematics

The external biseWest Bengal - Mathematics

Let's write the rWest Bengal - Mathematics

Let's calculate aWest Bengal - Mathematics

Let's prove logicWest Bengal - Mathematics