Question

In the given figure, the side QP and RQ of the triangle PQR are extended to points S and The respectively. If AngleSPR=135degree and anglePQT=110degree, find the measures of anglePRQ. ​

Answer 1

Answer:

135-180= 45

110-180= 70

x+70+45=180

x= 180-115

x= 65 Ans

Answer 2

angle PQR = 180° - 110° = 70° (because TR is straight line and sum of angles on straight line is 180°)

angle RPQ = 180° - 135° = 45° (because SQ is straight line and sum of angles on straight line is 180°)

so we have found 2 internal angles of triangle so the third angle let's assume x Ang the sum of internal angles in a triangle is 180°

70° + 45° + x = 180°

x = 180° - 115°

x = 65°

so angle PRQ = 65°