Question

Find x in given triangle.​

Answer 1

Answer:

In the triangle ABC, AB=AC

so, angle ACB= angle ABC

hera, ACD is a straight line and angle BCD= 120°

so, angle ACB=(180-120)°=60°

so, angle ABC =60°

sum of the three angles of a triangle is 180°

angle CAB= {180-(60+60)}°=(180-120)°=60°

so, x=60°

Answer 2

Answer:

PCB + BCA = 180° (property of triangle)

120. + BCA = 180°

BCA = 180°-120°

BCA = 60°__________(1)

By property of isosceles triangle

BCA = CBA

60°. = CBA__________(2)

So , sum of all sides of triangle is 180°

BCA + CBA + CAB = 180°

60° +60° + CAB = 180°

120. + CAB = 180°

CAB = 180° - 120°

CAB = 60°

x = 60°