Two complementary angles aare in the ratio 2:1 .find the measure of the angles.
Answers
Answered by
4
Step-by-step explanation:
let the number be x
2x+1x=90°(complementary angle)
3x=90°
x=90°/3
x=30°
Therefore, the two angle are
2x=2×30°=60°
1x=1×30°=30°
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Answered by
9
Answer :-
The measure of two complementary angles are
Step-by-step explanation:
To Find :-
- The measure of two complementary angles.
★ Solution
Given that,
- The two complementary angles are in the ratio of 2:1
Assumption:
Let us assume the two complementary ratio angles as (2x)° and (1x)°,
We know,
Complementary angles = 90°
- 2x + 1x = 90
Therefore,
⇒ 2x + 1x = 90
⇒ 3x = 90
⇒ x = 90/3
⇒ x = 30
The value of x is 30.
Now, The measure of angles are :-
- (1x) = 1*30 = 30°
- (2x) = 2*30 = 60°
Hence,
The complementary angles are 30° and 60°.
Now,
V E R I F I C A T I O N :-
- (1x) + (2x) = 90
By putting the value of angles in L.H.S :-
⇒ (1x) + (2x)
⇒ 30 + 60
⇒ 90
So, L.H.S = R.H.S = 90
Hence, Verified!
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