Question

Find the value of the unknown angles from the following figures​

Answer 1

Answer:

ii)y+65=180(linear pair)

y=180-65

125=y

again

x=65(alternate angle)

Answer 2

Answer:

1. x= 360 - (78+102+90) so, x=90

[sum of all interior angles of a 4 sided polygon is 360]

y= 180-x

y=180-90

y=90

2. y= 180-65=115

x= 360 - (101+79+115)= 360-295= 65

3. Consider the triangle that has the angles 78 and 30.

Sum of the interior angles of a triangle is 180. So 3rd angle will be 180-(78+30)= 72

now subtract 100-72 to get angle of other triangle. so 100-72= 28

so x= 180-(90+28)= 62