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If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle?
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If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ra...
- **Understanding the Problem:**
Given that the angles of a quadrilateral are in the ratio 3:5:7:9, we need to find the measure of each angle.
- **Solution:**
1. **Step 1: Find the total sum of the ratios**
The total sum of the ratios is 3 + 5 + 7 + 9 = 24.
2. **Step 2: Find the measure of each angle**
Let the common ratio be x.
So, the angles will be 3x, 5x, 7x, and 9x.
3. **Step 3: Calculate the value of x**
Since the sum of all angles in a quadrilateral is 360 degrees,
3x + 5x + 7x + 9x = 360
24x = 360
x = 15
4. **Step 4: Find the measure of each angle**
- 3x = 3 * 15 = 45 degrees
- 5x = 5 * 15 = 75 degrees
- 7x = 7 * 15 = 105 degrees
- 9x = 9 * 15 = 135 degrees
- **Conclusion:**
Therefore, the measures of the angles in the quadrilateral are 45 degrees, 75 degrees, 105 degrees, and 135 degrees.
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If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle?
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If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle?.
If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle?.
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