Question

Calculate the value of x in the figure.​

Answer 1

In ABE

angle A = 75°

angle B = 65°

angle AEB = 180° – ( 75 + 65 )

= 180 – 140

= 40°

angle AEB = angle DEC. [ vertically opposite angles ]

so, angle DEC = 40°

In DEC

angle C = 110°

angle D = x

angle DEC = 40°

Now, 110 + x + 40 = 180° [angle sum property]

=> 150 + x = 180

=> x = 180– 150

=> x = 30°

your answer = x = 30°