The supplement of an angle is twice the measurement of the angle. find the measurement of the smaller angle.

The measurement of smaller angle is 60°  

Step-by-step explanation:

Given as :

The supplement of an angle is twice the measurement of the angle.

Let The measurement of smaller angle = s°

A supplement angle is those when the sum of two angles = 180°

Now, According to statement

s + 2 × s = 180°

Solving the equation

∵ s + 2 × s = 180°

Or, ( 1 + 2 ) × s = 180°

Or, 3 × s = 180°

∴  s =

i.e s = 60°

So, The measurement of smaller angle = s = 60°

And The larger angle = 2 × s

i.e The larger angle = 2 ×  60° =  120°

Hence, The measurement of smaller angle is 60°  . Answer

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