Question

1. If in the adjoining figure,
ADE and CBF are straight lines,
then x=
with solution
​

Answer 1

Answer:

Step-by-step explanation:

Angle ADC =180-angle CED

= 180-55

=125

Similarly, angle ABC=120

Now, sum of all angles of quadrilateral is 360

So, X+120+125+65=360

X+310=360

So, X= 50

Answer 2

Answer:

x=50°

Step-by-step explanation:

Since, ADE is a straight line.

Therefore, angle ADC+angle EDC= 180°

angle ADC+55°=180°

angle ADC=180°-55°

angle ADC=125°

Similarly,

Since, CBF is a straight line.

Therefore, angle CBA+angle FBA= 180°

angle CBA+60°=180°

angle CBA=180°-60°

angle CBA=120°

Since, ABCD is a quadrilateral.

Therefore, Sum of all angles=360°

Angle ABC+Angle BCD+Angle CDA+Angle DAB=360°

120°+65°+125°+x=360°

310°+x=360°

x=360°-310°

x=50°