Question

TIMED! Which expression is equivalent to is m∠4?

Answer 1

Answer:

The correct answer is first option m<2 + m<3

Step-by-step explanation:

From the figure we can see a triangle with angles, <1, <2 and <3

By angle sum property we can write,

m<1 + m< 2 + m<3 = 180°

m<1 = 180 - (m<2 + m<3)   ----(1)

Also we  know that, <1 and <4 are linear pairs

m<1 + m<4 = 180°

m<1 = 180 - m<4   ---(2)

Compare (1) and (2) we get

m<4 = m<2 + m<3