Math, asked by shubham5686673, 10 months ago

17. If the difference between two supplementary angles is equal
to one right angle, then find the angles.​

Answers

Answered by devanayan2005
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 SocioMetricStar
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​

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