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The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. What is the largest angle
- a)80°
- b)102°
- c)120°
- d)150°
Correct answer is option 'C'. Can you explain this answer?
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The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. What is ...
3x + 4x + 5x + 6x = 360°
∴ Largest angle = 6 × 20° = 120°
∴ Largest angle = 6 × 20° = 120°
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The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. What is ...
Explanation:
Given:
The angles of the quadrilateral are in the ratio 3 : 4 : 5 : 6.
Step 1: Calculate the total sum of the angles in a quadrilateral
In any quadrilateral, the sum of all angles is always 360°.
Step 2: Determine the value of each angle
To find the value of each angle, we need to divide the total sum by the sum of the ratios (3 + 4 + 5 + 6 = 18).
360° / 18 = 20°
Now, multiply this value by each ratio to find the measure of each angle:
- 3 * 20° = 60°
- 4 * 20° = 80°
- 5 * 20° = 100°
- 6 * 20° = 120°
Step 3: Identify the largest angle
The largest angle among the four angles is 120°, which corresponds to the ratio 6.
Therefore, the largest angle in the quadrilateral is 120°.
Therefore, the correct answer is option C) 120°.
Given:
The angles of the quadrilateral are in the ratio 3 : 4 : 5 : 6.
Step 1: Calculate the total sum of the angles in a quadrilateral
In any quadrilateral, the sum of all angles is always 360°.
Step 2: Determine the value of each angle
To find the value of each angle, we need to divide the total sum by the sum of the ratios (3 + 4 + 5 + 6 = 18).
360° / 18 = 20°
Now, multiply this value by each ratio to find the measure of each angle:
- 3 * 20° = 60°
- 4 * 20° = 80°
- 5 * 20° = 100°
- 6 * 20° = 120°
Step 3: Identify the largest angle
The largest angle among the four angles is 120°, which corresponds to the ratio 6.
Therefore, the largest angle in the quadrilateral is 120°.
Therefore, the correct answer is option C) 120°.
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The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. What is the largest anglea)80° b)102° c)120°d)150°Correct answer is option 'C'. Can you explain this answer?
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