Two angles forming a linear pair are in the ratio 1:5. The larger angle is
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150 degrees mark me brainliest
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☘️ Given :
- Ratio of the angles = 1:5
☘️ To find :
- The largest angle.
☘️ Solution :
Let the angles be x.
So, 1x and 5x
We know that,
→ ∠A + ∠B = 180°
(Linear pair)
→ 1x + 5x = 180°
→ 6x = 180°
→ x = 180/6
→ x = 30°
Substituting the value of x.
1(30) and 5(30)
So, the angles are:
- First angle = 1x = 1(30) = 30°
- Second angle = 5x = 5(30) = 150°
Checking :
→ ∠A + ∠B = 180°
(Linear pair)
→ 1x + 5x = 180°
→ 1(30) + 5(30) = 180°
→ 30 + 150 = 180°
→ 180° = 180°
LHS = RHS
.°. Checked!
Now, we can say that Second angle which is 150° is the largest angle.
☘️ Answer :
- 150° is the largest angle.
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