Math, asked by harshinib2007, 5 hours ago

If in the given figure, OA and OB are opposite rays, then the value of x is, where AOC is (3x-8)° and COB is (x+20)°​

Answers

Answered by DeekshantSharma9
11

Answer:

x = 42°. Pls mark me as brainliest.

Step-by-step explanation:

If OA and OB are opposite rays, then AB is a line.

Let C be any point outside the line

Then, AOC + COB = 180

(3x - 8)° + (x + 20)° = 180°

3x° - 8° + x° + 20° = 180°

4x° + 12° = 180°

4x° = 180° - 12° = 168°

x° = 168°/4 = 42°

Answered by PoojaBurra
0

Given: OA and OB are opposite rays where AOC is (3x-8)° and COB is (x+20)°​  

To find: The value of x.

Solution:

As mentioned in the question, OA and OB are opposite rays, and thereby the angle AOB must measure 180°. This means that the sum of AOC and COB must be equated to 180 in order to find the value of x.

(3x-8) + (x+20) = 180

The x terms and constants are added separately and then the value of x is extracted from the equation.

2x = 168

x = 84

Therefore, the value of x is 84.

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