Question

how many degrees are there in an angle which equals to 1/8 of its supplementary?​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Measure of the angle is 20° which equals to 1/8 of its supplementary

Given:

• An angle which equals to 1/8 of its supplementary

To Find:

• Angle in degrees

Solution:

• Angles which adds up to 180° are called supplementary angles

Step 1:

Assume that x° is the measure of an angle hence, 180° - x°  is the measure of its supplementary angle

Step 2:

Create an equation using the fact that angle is 1/8 of its supplementary

x°  = (1/8)(180° - x°)

Step 3:

Solve for x:

8x°  = 180° - x°

=> 9x°  = 180°       ( Transpose x°)

=> x°  = 20°           ( Divide both sides by 9)

Hence Measure of the angle is 20°