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.

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