If two supplementary angles are in the of ratio of 11:9, find the angles.
Answers
Answered by
4
Answer:
Step-by-step explanation:
11x+9x=180
x=10
OK friend this is very easy question u can do it
Step-by-step explanation:
Answered by
28
Answer :-
- The two supplementary angles are 99° and 81°.
Step-by-step explanation:
Assumption:
- Let us assume the two supplementary angles, which are in the ratio of 11:9 as 11x and 9x.
We know,
Supplementary angles measures 180°,
Therefore,
- 11x + 9x = 180°
⇒ 11x + 9x = 180
⇒ 20x = 180
⇒ x = 180/20
⇒ x = 18/2
⇒ x = 9
The value of x is 9.
∴ The angles are :-
- 11x = 11*9 = 99°
- 9x = 9*9 = 81°
Hence, The two supplementary angles are 99° and 81°.
Now, Verification
- 11x + 9x = 180
By putting the value of angles in L.H.S :-
⇒ 11x + 9x
⇒ 99 + 81
⇒ 180
Now, L.H.S = R.H.S = 180
Hence, Verified!
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