Complemet and supplement measures of angles

Spanky · 2010-03-03 14:42:12

The measure of the angle supplement is 30 degrees more than 4times that of its complement. Find the measure of the angle described.

bobbym · 2010-03-03 15:43:23

Hi Spanky;

Definitions:

For any angle A between 0° and 180°, the supplement of A is 180° A.

Two acute angles that add up to 90°. 60° and 30° are complementary.

Using them you solve it like this:

A is the angle you seek.

180 - A = 4 (90 - A) + 30

180 - A = 360 - 4A + 30

180 = 360 - 3A + 30

150 = 360 - 3A

-210 = -3A

A = 70°

Spanky · 2010-03-03 15:50:22

ok so let me try another one and see if i got it right....

The measure of the angle supplement is 20 degrees more than 3 times that of its complement. Find the measure of the angle described.

Would the answer be 55?

bobbym · 2010-03-03 15:53:12

Hi;

A = 55° is correct.

Spanky · 2010-03-03 15:53:59

Thanks Bobbym! You're awesome!!

bobbym · 2010-03-03 16:09:23

Hi;

Your welcome, I am not awesome, I am just like everyone else.

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