Math, asked by Blakestevenson5083, 1 month ago

ray OCstands on the line ABangle BOC : amgler AOC = 2:7 the measure of angle AOC=______________

Answers

Answered by tennetiraj86
19

Step-by-step explanation:

Given :-

ray OC stands on the line AB and

<BOC : < AOC = 2:7

To find :-

Find the measure of < AOC?

Solution :-

Given that

AB is a line .

OC ray stand on the line AB

The angles are formed then <AOC and <BOC

Given that

<BOC : < AOC = 2:7

Let <BOC = 2X°

Let <AOC = 7X°

We know that

<AOC and <BOC are linear pair.

=> <AOC + <BOC = 180°

=> 7X°+2X° = 180°

=> 9X° = 180°

=> X° = 180°/9

=> X° = 20°

Therefore, X= 20°

Now,

If X = 20° then 2X° = 2(20°) = 40°

<BOC = 40°

and

If X= 20° then 7X° = 7(20°) = 140°

=> <AOC = 140°

Answer:-

The measure of <AOC for the given problem is 140°

Used formulae:-

The sum of the adjacent angles is equal to 180° they are called Linear pair.

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Answered by shivasinghmohan629
0

Step-by-step explanation:

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