Question

Given: angle one and angle two forms a linear pair; angle one and angle three are supplementary

Answer 1

Step-by-step explanation:

angle 1 & angle 2 are linear pair. That means both the angles form a straight angle (or 180°). Hence ,

$m(1) + m(2) = 180$

$= > m(1) = 180 - m(2)$

Also it's given that angle 1 & angle 3 are supplementary. It means that their sum will be equal to 180° . So ,

$m(1) + m(3) = 180$

Putting the value of m(1) in above eqn. gives :-

$m(1) + m(3) = 180$

$= > 180 - m(2) + m(3) = 180$

$= > - m(2) + m(3) = 180 - 180$

$= > m(3) - m(2) = 0$

$= > m(3) = m(2)$