Question

The diagram show the isosceles triangle, ABC.
BCD is the straight line
Find the value of x

Answer 1

Answer:

The answer is attached here.

Answer 2

Step-by-step explanation:

∆ABC is an isosceles ∆

So,

L B = L C

BCD is a straight line (given)

Therefore, L BCA + L DCA= 180°

L BCA+132= 180°

L BCA= 180- 132

= 48°

Sum of all the angles in ∆ ABC= 180°

x+ L B +L C = 180°

x+ 2L C= 180 ° ( L B= L C)

x+2(48)= 180°

x= 180°-96°

= 84°