7 grade maths
The angle which is one fifth of its supplement is
- (a) 15°
- (b) 30°
- (c) 45°
- (d) 60°
The angle which is one fifth of its supplement is
- (a) 15°
- (b) 30°
- (c) 45°
- (d) 60°
1 Answer
Askiitians Tutor Team
Approved Tutor Answer9 Months agoTo find the angle that is one fifth of its supplement, let's denote the angle as x. The supplement of x is 180° - x.
Setting Up the Equation
According to the problem, we have:
x = (1/5) * (180° - x)
Solving the Equation
Now, let's solve for x:
- Multiply both sides by 5: 5x = 180° - x
- Add x to both sides: 5x + x = 180°
- This simplifies to: 6x = 180°
- Now, divide by 6: x = 30°
The Correct Answer
The angle which is one fifth of its supplement is 30°. Therefore, the correct option is (b) 30°.
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