In fig.1 angle A and angle B form a linear pair , if a-b=100° then angle A and angle B are?
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Question:
- In this figure, a and b are forming a linear pair. If a - b = 100°, find the Values of a and b.
To Find:
- The values of a and b.
Solution:
a + b are forming a linear pair,
a + b = 180° .....( i )
Now, a - b = 100°
( Given ) ......( ii )
Now, let's subtract equation (ii) from (i),
a + b - a + b = 180° - 100°
( using - (a - b) = (-a) + b )
2 b = 80°
b = 40°
b = 40°
Now, by substituting the value of b in equation (i) we get,
a + b = 180°
a + 40° = 180°
a = 180° - 40°
a = 140°
a = 140°
Answer:
[tex]\therefore[/tex] a = 140° and b = 40°
Answered by
3
Correct Question :-
- ∠ A and ∠ B are forming in a linear pair , if a - b = 100° then ∠A and ∠B are ?
Solution :-
∠A - ∠B = 100
∠A = 100 + ∠B -------(i)
And,
∠A + ∠B = 180°
Put the value of ∠A from equation (i) →
100 + ∠B + ∠B = 180
100 + 2(∠B) = 180
2(∠B) = 180 - 100
2(∠B) = 80
∠B = 80/2
∠B = 40°
Now, put the value of ∠B into equation (i) →
∠A = 100 + ∠B
∠A = 100 + 40
∠A = 140
Hence, The angles ∠A and ∠B are 140° and 40°
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