Question

The sides QP and RQ of triangle PQR are produced to point S and T respectively if angle SPR is 135 and angle PQT is 110 find angle PRQ​

Answer 1

Answer:

PRQ = 25

Step-by-step explanation:

POT + PRQ= SPR (EXTERIOR ANGLE PRO.)

Answer 2

Answer:

65°

Step-by-step explanation:

<SPR=135°(given)

<SPR+<RPQ=180°(Linear Pair )

<RPQ=180°-135°

=45°

<PQT=110°(given)

<PQT+<PQR=180°(LinearPair)

<PQR=180°-110°

=70°

Now,

<RPQ=45°

<PQR=70°

<PQR+<RPQ+<PRQ=180°(Angle sum property of triangle)

70°+45°+<PRQ=180°

<PRQ= 180°-115°

=65°

Therefore, <PRQ=65°

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