NCERT Class 9 Solutions: Line and Angles (Chapter 6) Exercise 6.3 – Part 1

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Figure of Interior and Exterior angle

Figure of Interior and Exterior Angle

Figure of Interior and Exterior angle

Q-1 In the figure, sides QP and RQ of are produced to points S and T respectively. If and , find .

Triangle PQR Also Side QP and RQ

Triangle PQR also side QP and RQ are produce to point S and T respectively also angle SPR = 135(degree) and angle PQT = 110(degree)

Solution:

Given, sides QP and RQ

Now,

(SQ is a straight line)

Also,

(TR is a straight line)

Now,

(Sum of the interior angles of the triangle)

Q-2 In the figure, If YO and ZO are the bisectors of and respectively of , find and

Triangle of XYZ

Rectangle of XYZ, angle XYZ = 54(degree) if YO and ZO are the bisector of angle XYZ and angle XZY respectively of triangle XYZ

Solution:

Given,

YO and ZO are the bisectors of and respectively.

Now,

(Sum of the interior angles of the triangle)

Now,

(ZO is the bisector)

Also,

(YO is the bisector)

Now,

(Sum of the interior angles of the triangle)