Question

36° more than four-fifths of its supplement​

Answer 1

Angle = 100°  which is 36 degree more than four fifths of its supplement.

Step-by-step explanation:

let say Angle = X

then supplementary angle = 180 - X

an angle which is 36 degree more than four fifths of its supplement.

=> X = (4/5)(180 - X)  + 36

=> 5X = 4(180 - X) + 180

=> 5X = 720 - 4X + 180

=> 9X = 900

=> X = 100

Angle = 100°

Angle = 100°  which is 36 degree more than four fifths of its supplement.

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Answer 2

Concept:

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are supplementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees. If the two additional angles are combined, they create a straight line and an angle.

However, it should be emphasised that the two supplementary angles do not necessarily need to be close to one another. As a result, any two angles can be supplementary if their sum is 180 degrees.

Given:

36° more than four-fifths of its supplement​

Find:

Find the angle which is 36° more than four-fifths of its supplement​

Solution:

let say Angle = X

then supplementary angle = 180 - X

an angle which is 36 degree more than four fifths of its supplement.

=> X = (4/5)(180 - X)  + 36

=> 5X = 4(180 - X) + 180

=> 5X = 720 - 4X + 180

=> 9X = 900

=> X = 100

Angle = 100°

Therefore,Angle = 100°  which is 36 degree more than four fifths of its supplement.

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