Question

Solve this question step by step ​

Answer 1

Step-by-step explanation:

angle A = 40°

angle 1=angle 2

hence, angle 1+ angle 2 = 40°

angle 1= 20°

angle 2= 20°

angle B = angle C (opposite angles are equal in an isosceles triangle)

let angle B and C be x.

angle A + angle B + angle C= 180° ( sum of the angles of a triangle)

40° + x + x = 180°

40° +2x = 180°

2x = 140°

x= 140/2

x= 70°

Therefore, angle PBC= 70-55

= 15°

Therefore, angle PCB = 15° ( angle B and C are equal)

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