Class 7 Exam > Class 7 Questions > The difference in the measures of two complem...
Start Learning for Free
The difference in the measures of two complementary angles is 12. Find the measures of the angles?
Most Upvoted Answer
The difference in the measures of two complementary angles is 12. Find...
Problem: The difference in the measures of two complementary angles is 12. Find the measures of the angles?
Solution:
Let's start by defining complementary angles.
Complementary Angles: Two angles are complementary if the sum of their measures is 90 degrees.
Let's assume that the measures of the two complementary angles are x and y.
From the problem statement, we know that:
x + y = 90 (since they are complementary angles)
We also know that the difference in the measures of the two angles is 12, which means:
x - y = 12
We can now solve these two equations simultaneously to find the measures of the angles.
Solving the equations:
x + y = 90
x - y = 12
Adding the two equations, we get:
2x = 102
x = 51
Substituting x = 51 in the first equation, we get:
51 + y = 90
y = 39
Therefore, the measures of the two complementary angles are 51 degrees and 39 degrees.
Answer: The measures of the two complementary angles are 51 degrees and 39 degrees.
Solution:
Let's start by defining complementary angles.
Complementary Angles: Two angles are complementary if the sum of their measures is 90 degrees.
Let's assume that the measures of the two complementary angles are x and y.
From the problem statement, we know that:
x + y = 90 (since they are complementary angles)
We also know that the difference in the measures of the two angles is 12, which means:
x - y = 12
We can now solve these two equations simultaneously to find the measures of the angles.
Solving the equations:
x + y = 90
x - y = 12
Adding the two equations, we get:
2x = 102
x = 51
Substituting x = 51 in the first equation, we get:
51 + y = 90
y = 39
Therefore, the measures of the two complementary angles are 51 degrees and 39 degrees.
Answer: The measures of the two complementary angles are 51 degrees and 39 degrees.
Community Answer
The difference in the measures of two complementary angles is 12. Find...
Let the two angles be x and y
Given, x-y=12
We know that the sum of complementary angles is 90
Therefore, x+y=90
so, x=90-y
Substitute x in x-y=12
Therefore, 90-y-y = 12
90-2y = 12
-2y = 12 - 90
-2y = -78
y = -78/-2
y = 39
Substitute y in x - y = 12
x - 39 = 12
x = 12+39
x = 51
Therefore, the two angles are 51 degree and 39 degree.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
The difference in the measures of two complementary angles is 12. Find the measures of the angles?
Question Description
The difference in the measures of two complementary angles is 12. Find the measures of the angles? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The difference in the measures of two complementary angles is 12. Find the measures of the angles? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference in the measures of two complementary angles is 12. Find the measures of the angles?.
The difference in the measures of two complementary angles is 12. Find the measures of the angles? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The difference in the measures of two complementary angles is 12. Find the measures of the angles? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference in the measures of two complementary angles is 12. Find the measures of the angles?.
Solutions for The difference in the measures of two complementary angles is 12. Find the measures of the angles? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of The difference in the measures of two complementary angles is 12. Find the measures of the angles? defined & explained in the simplest way possible. Besides giving the explanation of
The difference in the measures of two complementary angles is 12. Find the measures of the angles?, a detailed solution for The difference in the measures of two complementary angles is 12. Find the measures of the angles? has been provided alongside types of The difference in the measures of two complementary angles is 12. Find the measures of the angles? theory, EduRev gives you an
ample number of questions to practice The difference in the measures of two complementary angles is 12. Find the measures of the angles? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup