Question

calculate the value of x

Answer 1

In triangle ABC,
angle ABC = 35 degree
therefore angle BAC = 35 degree (ABC is an isosceles triangle)
angle ABC + angle BAC + angle ACB = 180 degree
= 35 degree + 35 degree + angle ACB = 180 degree
= angle ACB = 180 degree - 35 degree + 35 degree
= angle ACB = 180 degree - 70 degree
= 110 degree

Angle ACB + angle ACD = 180 degree
Angle ACD = 180 degree - angle ACB
= 180 degree - 110 degree
= 70 degree
Since angle ACD = 70 degree
Therefore angle CAD is also 70 degree (ACD is an isosceles triangle )
angle ACD + angle CAD + angle ADC = 180 degree
= 70 degree + 70 degree + angle ADC= 180 degree
angle ADC = 180 degree - 70 degree + 70 degree
= 180 degree - 140 degree = 40 degree
Therefore x = 40 degree

HOPE IT HELPS YOU !!!!!