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
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
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.
The x terms and constants are added separately and then the value of x is extracted from the equation.
Therefore, the value of x is 84.
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