17. If the difference between two supplementary angles is equal
to one right angle, then find the angles.
Answers
Answered by
16
let the angle be x
it's supplementary = (180-x)
a/q,
x-(180°-x)= 90°
x-180°+x = 90°
2x = 270°
x=135°
if x =135° then (180-135) = 45° is its supplement
hope this helps
Answered by
7
The angles are 135° and 45°
Step-by-step explanation:
Definition of supplementary angle:
Two angles are supplementary angles if the sum of these two angles is 180°
So, if one angle is x then its supplementary angle is 180 - x
Now, given that difference between two supplementary angles is equal
to one right angle. Hence, we have
x - ( 180 -x ) = 90
x - 180 + x = 90
2x = 270
x = 135°
Hence the other angle is
180 - 135
= 45°
Therefore, the angles are 135° and 45°
#Learn More:
Two complementary angle are in the ratio 3:5 find rhe angles
https://brainly.in/question/11725573
Similar questions
English,
5 months ago
Math,
5 months ago
Social Sciences,
5 months ago
History,
10 months ago
Math,
10 months ago
Physics,
1 year ago
Social Sciences,
1 year ago
Math,
1 year ago