Question

Among two supplementary angles he measure of the larger angle is 44 degrees more than the measure of the smaller. Find the measures.

Answer 1

let the smaller angle=A,
then larger angle =A+44°,

since angles are supplementry, then

smaller angle + larger angle=180°,

A+A+44°=180°,

2A=180°-44°,

2A=136°,

A=68°,

therefore
smaller angle=68°,

larger angle=68°+44°=112°

Answer 2

Let the smaller angle be x

So, the larger angle will be x + 44

[ Supplementary Angle = 180° ]

$⇒\bold{ x + ( x +44 ) = 180°}$

$⇒\bold{ 2x + 44 = 180°}$

$⇒\bold{2x = 180 - 44}$

$⇒\bold{2x = 136}$

$⇒\bold{x =\frac{136}{2} }$

$\large{\bold{\fbox{x = 68}}}$ ✔️✅

Therefore, the smaller angle is 68°

Larger angle = 68 + 44 = 112°