Question

Measures of two supplementary angles are consecutive odd integers find the angles ​

Answer 1

☀️ Solution:

Supplementary angles are those angles which add upto 180°. They may or may not be linear pair.

We have,

• Two consecutive odd angles.
• They are supplementary$.$

Let,

• One of the angles be x
• Then, other angle will be x + 2°

Then,

➝ x + x + 2° = 180°

➝ 2x + 2° = 180°

➝ 2x = 178°

➝ x = 89°

Other angle = x + 2° = 91°

Answer - 89° and 91°

⚘ Hence, solved !!

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Answer 2

Answer:

Step-by-step explanation:

Let the numbers are x, x+1

The sum of supplementary angles is 180°

X+x+1=180

2x+1=180

2x=180-1

2x=179

X=179/2

X=89.5

X+1=89.5+1=90.5

The integers are 89.5,90.5