Class 8 Exam  >  Class 8 Questions  >  If the angles of a quadrilateral are in the r... Start Learning for Free
If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle?
Most Upvoted Answer
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.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
Explore Courses for Class 8 exam

Top Courses for Class 8

If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle?
Question Description
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?.
Solutions for If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle? defined & explained in the simplest way possible. Besides giving the explanation of If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle?, a detailed solution for If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle? has been provided alongside types of If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle? theory, EduRev gives you an ample number of questions to practice If the angles of a quadrilateral are in the ratio 3 ratio 5 ratio 7 ratio 9 find the measure of each angle? tests, examples and also practice Class 8 tests.
Explore Courses for Class 8 exam

Top Courses for Class 8

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev