Question

find the value of x and y each of the following figures .​

Answer 1

Answer:

Correct option is C)

exterior angle at A

= sum of other interior angle

107=x+57

x=107−57=50

o

in △107−57=50

o

∑ interior angle

x+40+107=180

x=33

x+65+y=180

y=180−65−33

y=82

solution

Answer 2

Solution

Correct option is C)

∠CAB=80

o

[apposite angle]

As AB=AC

∴x=∠ACB

Also, by angle sum property, we have

x+x+80=180

2x=100

x=50

y=80+x=130 exterior angle property

x=50

y=130