If the measures of
complementary pair of
angles are in a ratio 1:5,
then what is the measure
of the smaller angle?
1 15°
2 18°
3 30°
4 10°
Answers
Answered by
80
Answer:
- Option (1) correct. Measure of smaller angle is 15°.
Step-by-step explanation:
Given :-
- Ratio of complementary pair of angles is 1:5.
To find :-
- Measure of smaller angle.
Solution :-
We know,
Sum of two complementary angles is 90°.
Let, First complementary angle 1x or x.
And, Second complementary angle be 5x.
So,
x + 5x = 90°
6x = 90°
x = 90°/6
x = 15°.
Verification :-
x + 5x = 90°
- Put x = 15°
15° + 5× 15° =90°
15° + 75° = 90°
90° = 90°
Angles :-
First angle = x = 15°
So, First angle is 15°.
Second angle = 5x = 5×15° = 75°
Thus, Second angle is 75°
Here, First angle is smaller.
Therefore,
Smaller angle is 15°.
1) Option is correct.
Answered by
4
Correct Question-:
- If the measures of complementary pair of angles are in a ratio 1:5 . Then what is the measure of the smaller angle ?
AnswEr-:
Explanation-:
Given -:
- The measures of complementary pair of angles are in a ratio 1:5 .
To Find -:
- What is the measure of the smaller angle ?
Solution -:
We know that ,
- Let the complementary pair of angle be 1x or x and 5x .
Now ,
Therefore,
Now ,
Then pairs of complementary angles are -:
- 1st Angle = x = 15⁰
- 2nd Angle = 5x = 5 × 15 = 75⁰
Hence ,
- -----[1]
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♤ Verification ♤
Here,
- 1st Angle = 15⁰
- 2nd Angle = 75⁰________ [From 1]
Now ,
Therefore,
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