Question

The larger of the two supplementary
angles exceeds the smaller by 22°. What is
the smaller angle?​

Answer 1

Hey there

Pls refer below for the soln of ur asked query

Step-by-step explanation:

Supplementary Angles are the angles whose sum is 180°

Let the angles be x and (180-x) and let x is larger angle.

So

Acc To Question

x=(180-x)+22

2x= 202

x=101°

therefore

smaller angle= 180-x

=180-101

= 79°

which is the required answer

Feel Free to ask Doubts if u have any!

Answer 2

Step-by-step explanation:

Let the angles be x and y

So, x+y=180

∘

−(1)

x=y+22

Put the above value in equation 1

⇒y+22+y=180

∘

∴2y+22=180

2y = 180-22 =158

y=158/2

y=79°

As x+y =180

Put y=79

Then

x+79= 180

x=180-79= 101

Hope it helps you

Plz mark me as brainlist

∘