The difference in the measures of two complementary angles is 22 degree. find the measures of angles
Answers
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Answer
If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️
Above sum solution....
one angle =x
other angle =y
According to question
x+y= 90°......(1)
x-y=22°......(2)
from one and two ....by eliminating method...
2y=68
y=68/2
y=34
put y in equation 1
x+y=90°
x+34=90°
x=90°-34
x= 56...
To verify add both
sum = 90°
Hence ..verified...
hope its helps u...☺️✌️✌️
Given:
The difference between two complementary angles is 22°.
To Find:
The measure of the other two angles is?
Solution:
The given problem can be solved using the concepts of complementary angles.
1. Two angles are said to be the complement of each other if the sum of the two angles is 90°.
2. Let the two angles by x° and y°. Since they are a complement to each other the sum of the two angles will be 90°,
=> x + y = 90°. ( Assume as equation 1).
3. The difference of the two angles is 22°, Hence the equation will be,
=> x - y = 22°. ( Assume as equation 2).
4. Solve equations 1 and 2 for the values of x and y.
=> Add equations 1 and 2,
=> x + y + x - y = 90 + 22,
=> 2x = 112°,
=> x = 56°.
5. Substitute the value of x in equation 1,
=> 56° + y = 90°,
=> y = 90 -56,
=> y = 34°.
Therefore, the measure of the two angles is 56°, and 34°.