Question

3. In each of the following figures, find the value of x :
​

Answer 1

Step-by-step explanation:

i) ABC is isosceles triangle

angles B=C=y

40+2×y=180

y=70

angle x=40+LB

=40+70 = 110

ii) ACD is an isosceles triangle

angle DAC=30

so angle ACD =180-(30+30)=120

so angle ACB = 180-120=60

so angle x =180-65-60=180-125=55

iii) angle C = angle B =55

55+x=75

exterior angle = sum of 2 interior opposite angles

x=20