The measure of an angle is 30 degrees less than half the measure of its supplement. what is the measure of the angle? a: 10 b: 40 c: 90 d: 140

The concept of supplementary angles is :

Sum of supplementary angles =180 degrees

Now let us say one of the supplementary angle measures x degrees.

finding expression for second angle,

half the measure of x is 0.5x

30 degrees less means subtracting 30 so we have 0.5x-30

now the two angles are x and 0.5x-30

Adding the two will be equal to 180 , so forming an equation,

adding 30 on the right side,

dividing both sides by 1.5

x=210/1.5 = 140

So first angle is 140

our angle is 0.5x-30 which is 40 degrees

Answer is 40 degrees

the answer is c

hope this !

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