Question

if the larger of two supplementary angles exceeds the smaller by 24 degree , then find the numbers​

Answer 1

Answer:

78 and 102

Step-by-step explanation:

Let the smaller angle be x. Then the larger angle will be x+24

Since the angles are supplementary

Sum=180

x+x+24=180

2x+24=180

2x=180-24=156

So x=78

So the angles are 78 and 78+24

Or

78 and 102

Answer 2

Answer:

The angles are 78° and 102°.

Step-by-step explanation:

Gívєn -

Larger angle exceeds the smaller one by 24 degree

Tσ fínd -

The angles

Sσlutíσn -

Let the -

• Smaller Angle be as x
• Larger angle as (x + 24)

Supplementary angles are the angles which sum up and make 180°.

$\sf{\implies} \: x + (x + 24) = 180$

$\sf{\implies} \: x + x + 24 = 180$

$\sf{\implies} \: 2x + 24 = 180$

$\sf{\implies} \: 2x = 180 - 24$

$\sf{\implies} \: 2x = 156$

$\sf{\implies} \: x = \dfrac{156}{2}$

$\sf{\implies} \: x = 78$

One Angle = 78°

$\rule{300}{1.5}$

Second angle =

$\sf{\implies} \: (x + 24)$

$\sf{\implies} \: 78 + 24$

$\sf{\implies} \: 102$

Larger Angle = 102°

$\therefore$ The angles are 78° and 102°.