Question

In a triangle pqr, the sides have been produced as shown.if angle 1 is equals to 35 degree angle 2 is equal to 75 degree, find the third angle of the triangle. also find also find angle XPZ + angle PQY + angle QRZ .​

Answer 1

Answer:

px

Step-by-step explanation:

In triangle par

angle 1+ angle2+angle3=180 [sume of all the angle of triangle]

35 + 75 + angle3= 180

110+ angle 3 = 180

angle 3 = 180- 110

angle 3= 70

to find angle xpz

angle xpz+angle 3 = 180 ( linear pair of angle)

angle xpz = 180- 70

angle xpz = 110

to find angle pqy

angle pqy +angle 1= 180 ( linear pair of angle)

angle pqy = 180-35

angle pqy = 45

to find angle qrz

angle qrz+ angle 2 = 180 ( linear pair of angle)

angle qrz + 75 = 180

angle qrz = 180- 75

angle qrz = 105

Now, angle xpz + angle pxy + angle qrz

110+45+105=260

Answer 2

Answer:

Third angle =70°

angle XPZ +angle PQY+ angle QRZ = 360°