Question

find the value of x in the figure

Answer 1

Here ,
a , a and b , b are co - int. angles.

a + a + b + b = 180

2a + 2b = 180

2 ( a + b ) = 180

a + b = 90 Degree

Now, In triangle...

a + b + third angle = 180

90 + third angle = 180

third angle = 180 - 90 = 90 Degree

now ,

90 + x + x = 180 ( Linear pair )

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45 degree ans.