Question

among two supplementary angles the measure of the larger angle is 44 degree more than the measure of the smaller find their measures​

Answer 1

Answer:

amgles are 68° and 112°

Step-by-step explanation:

let tha angles be x and (x+44)

x+(x+44)=180

2x+44=180

2x=180-44

2x=136

x=68

(x+44)=68+44=112

Answer 2

Step-by-step explanation:

Measure of the larger Angle = 44 degree more than the measure of the smaller

Let the -

• Smaller Angle be as x
• Larger Angle be as (x + 44)

Supplemetary angles means that when the angles are added their sum is 180°

⟹ x + (x + 44) = 180°

⟹ x + x + 44 = 180

⟹ 2x + 44 = 180

⟹ 2x = 180 - 44

⟹ 2x = 136

⟹ x = 136/2

⟹ x = 68° ...... [ Smaller Angle ]

Larger Angle =

⟹ 68 + 44

⟹ 112 ....... [ Larger Angle ]

$\therefore$ The angles are 68° and 112°.