Question

Prove that the bisector of a pair of vertically opposite angles form a straight line

Answer 1

Ans : Given that

X = 45°, y =?, Z = ?, u=?

Vertically opposite angles are equal

Therefore z = x = 45

z and u are angles that are a linear pair

Therefore, z + u = 180

z = 180 – u

u = 180 – x

u = 180 – 45

u = 135

x and y angles are a linear pair

x+ y = 180

y = 180 – x

y =180 – 45

y = 135