Question

find x.with reason and formula and answer is 50 ​

Answer 1

In a Triangle, Base Angles of Equal Sides are Equal.

Hence in the 1st Triangle, the other Base Angle is 50°.

Using Angle Sum Property of Triangle,

50° + 50° + a(Vertex Angle) = 180°

100° + a = 180°

a = 80°

Now, by Vertically Opposite Angles,

a = 80° = b(Vertex Angle of 2nd Triangle)

Now, by Angle Sum Property,

b + x + x = 180°

80 + 2x = 180°

2x = 100°

Hence,

x = 50°