Question 6. It is Given That ? Xyz = 64° and Xy is Produced to Po Exercise 6.1 Chapter 6 Lines and Angles Maths Class

Question 6. It is given that ? XYZ = 64° and XY is produced to point P. Draw a figure from Chapter 6: Lines and Angles Maths Class 9 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 6. It is given that ∠ XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ ZYP, find ∠ XYQ and reflex ∠ QYP. is solved by our expert teachers. You can get ncert solutions and notes for class 9 chapter 6 absolutely free. NCERT Solutions for class 9 Maths Chapter 6: Lines and Angles is very essencial for getting good marks in CBSE Board examinations

Question 6. It is given that ∠ XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ ZYP, find ∠ XYQ and reflex ∠ QYP.

Solution: It is given that line YQ bisects ∠PYZ.
Hence,
∠QYP             = ∠ZYQ
PX is straight line
sum of angle in linear pair always equal to 180°
∠XYZ + ∠ZYQ + ∠QYP = 180°
Give that so plug the value we get ∠ XYZ = 64°
And ∠QYP = ∠ZYQ
∠ 64° + 2∠QYP = 180°
∠2∠QYP = 180° − 64° = 116°
Divide by 2 we get
∠QYP = 58°
Also, ∠ZYQ = ∠QYP = 58°
Using angle of reflection
∠QYP            = 360° − 58° = 302°
∠XYQ             = ∠XYZ + ∠ZYQ
= 64° + 58°
= 122°