Question

O : Describe the relationship between angles b,c, and e in the above diagram. ар

Answer 1

Angles b, c and a are the internal angles of a triangle. Then, they add up to 180°.

b + c + a = 180° (eq. 1)

Angles a and e are supplementary, then they add up to 180°.

e + a = 180° (eq. 2)

Subtracting equation 2 to equation 1, we get:

b + c + a = 180°

-

e + a = 180°

----------------------

b + c - e = 0°

or

b + c = e