ray OCstands on the line ABangle BOC : amgler AOC = 2:7 the measure of angle AOC=______________
Answers
Answered by
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.
Attachments:
Answered by
0
Step-by-step explanation:
hope it helps you please mark me brainlist
Attachments:
Similar questions