Question

pls solve this by explaination​

Answer 1

Answer:

By the above picture we can say a angle1 angle2 and angle 3.

Now,

angle 1 + 135°=180°( linear pair)

angle 1= 40°

Now,

angle 2+110°=180°(linear pair)

angle 2=70°

Now,

angle 1+ angle 2+angle 3=180°( A.S.P of a∆)

40°+70°+ X = 180°

110°+X=180°

X=180°-110°

X=70°

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Answer 2

Please do write Given and To prove

Angle PQT + Angle PQR = 180°............. Linear pair angles.

110° + Angle PQR = 180°

Angle PQR = 180 - 110

Angle PQR = 70°..............1)

Angle SPR + Angle RPQ = 180°.................Linear pair angles

135° + Angle RPQ = 180°

Angle RPQ = 180 - 135

Angle RPQ = 45°.............2)

Angle PQR + Angle PRQ + Angle RPQ = 180°...............Sum of measures of angles of a triangle is 180°

70° + Angle PRQ + 45° = 180°

Angle PRQ + 115° = 180°

Angle PRQ = 180 - 115

Angle PRQ = 65°