two angles are in the ratio 3:2,if they are linear pair find them
Answers
Answer:
108° & 72° respectively..
Step-by-step explanation:
Sum of angles forming a linear pair = 180°
Let both the angles be 3x and 2x.
So, the equation so formed is:::
3x+2x=180°
5x=180°
x=36°
So,
1st angle = 3x = 3×36 = 108°
2nd angle = 2x = 2×36 = 72°
SOLUTION
GIVEN
- Two angles are in the ratio 3 : 2
- They are linear pair
TO DETERMINE
The angles
EVALUATION
Here it is given that the two angles are in the ratio 3 : 2
Let the angles are 3x and 2x
Now the angles are in linear pair
We know that linear pair of angles are formed when two lines intersect.
Thus sum of the linear pair angles = 180°
So by the given condition
3x + 2x = 180°
⇒ 5x = 180°
⇒ x = 36°
First angle = 3 × 36° = 108°
Second angle = 2 × 36° = 72°
FINAL ANSWER
Hence the required angles are 108° , 72°
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