The angles which differ by 38 degree and are complementary to each other are.......?
Answers
Answer:
let angles be x and 90 - x
therefore,
90 - x = x + 38
2x = 90 - 38
2x = 52
x = 52 / 2
x = 26
thus 2nd angle = 90 - 26
= 64
therefore the angles are : 26° and 64°
The angles are 64 degrees and 26 degrees
Solution:
Complementary angles are angles whose sum is 90 degrees
Let the two angles be "x" and "y"
x + y = 90 --------- eqn 1
Given that,
The angles differ by 38 degrees. Therefore,
x = y + 38 ----- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
y + 38 + y = 90
2y + 38 = 90
2y = 90 - 38
2y = 52
y = 26
Substitute y = 26 in eqn 2
x = 26 + 38
x = 64
Thus the angles are 64 degrees and 26 degrees
Learn more about this topic
Two supplementary angles differ by 30 degree .find the angle
https://brainly.in/question/1505995
Two complementary angles differ by 12 degree. find the angles
https://brainly.in/question/1558508