Question

Choose the correct answer and fill in the blanks :

Supplement of $31°$is…………………. ($59°/149°$)

Answer 1

Supplementary angles :

As we know that, two angles are said to be supplementary angles if they add up to $180°$.

Supplement angle : One angle from a pair of supplementary angles.

Let the supplement of $31°$ be $x°$.

So, $31°+x°=180°$ ($\because$Supplementary angles add up to $180°$)

$x°=180°-31°$ (By transposing $31°$from L.H.S. to R.H.S.)

$x°=149°$

Hence supplement of $31°$is $149°$.