two adjacent angle of a parallelogram are in the ratio 5:7 find the measure of all the angle
Share
two adjacent angle of a parallelogram are in the ratio 5:7 find the measure of all the angle
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer
Given
To Find
Step By Step Explanation
Assumption :
Let us consider the two adjacent angles be 5x and 7x.
Now,
Sum of adjacent angles of a parallelogram = 180°.
Equation :
Solution of Equation :
Let's solve the above equation to find the value of x.
Hence, x = 15°, Now angles => 5x = 75° and 7x = 105°.
We know that :
Opposite angles of parallelogram are equal.
Therefore, measure of all the angles are 75°, 105°, 75° and 105°.
_______________
More to Know
__________________________