Question

EXERCISE 8.3
1. In Fig. 8.56, lines l, and lz intersect at O, forming angles as shown in the figure. If x = 45,
find the values of y, z and u.​

Answer 1

Step-by-step explanation:

Given, x=45

o

As per the diagram, two lines l

1

& l

2

intersected to form two pairs of vertically opposite angles.

x=z -- (1)

u=y --(2)

From (1)

x=z=45

o

.

We also know that the sum of all the angles around a point is 360

o

x+u+z+y=360

o

45+u+45+u=360

o

90+2u=360

o

2u=270

o

u=135

o

=>y=135

o

∴ x=45

o

,z=45

o

,u=135

o

and y=135

o

.