Hi,

1)An angle's measure is 18° more than 3 times its complement.

Let x represent the angle and (90° - x) represent its complement

Question states******

 x = 3(90°-x) + 18°

Solving for x

 4x = 288°

  x = 72°, the angle, its complement is 18°

CHECKING our Answer*****

  

2)The supplement of an angle is 4 times as large as the angle's complement.

Let x represent the angle, (90° - x)its complement & (180°-x) its supplement

Question states***

 (18°0-x) = 4(90°-x)

Solving for x

  3x = 180°

   x = 60° the angle, complement is 30° and supplement is 120°

CHECKING our Answer***

  

Answer by thejackal(72)   (Show Source): You can put this solution on YOUR website!
 1.) We say that 2 angles compliment each other if the sum of the two angles is equal to 90. Therefore, let angle A be the 1st compliment and angle B be 

the angle given as 18 + (3 x A) the sum of 18 + (3 x A) + A = 90; You now have a simple equation. solve for A to find the 1st compliment and then use that value to find the value of angle B



2.) We say that 2 angles supplement each other if the sum of the two angles is equal to 180. Use the same procedure: Angle A is (4 x B) B being A's compliment, therefore 4B + B = 90 , thus 5B = 90 hence B = 18 therefore A the supplement is 90 - 18 = 72; The supplement of A is 180 - 72 = 108



QED

 

RELATED QUESTIONS

the complement of an angle is 18 degrees more than 1/3 its supplement. find the measure... (answered by ankor@dixie-net.com)

The measure of an angle’s supplement is 20o more than three times its complement. Find... (answered by stanbon)

The measure of an angle’s supplement is 30 degrees more than three times the measure of... (answered by nerdybill,math-vortex)

The supplement of an angle is 26 more than 5 times its complement. Find the measure of... (answered by richwmiller,JimboP1977)

The Supplement of an angle is 32 more than 2 times the complement of the angle. Find the... (answered by nerdybill)

find the measure of an angle if its measure is 18 degrees more than 3 times its... (answered by drj)

Three times the complement of an angle is 18 more than its supplement.  Find the... (answered by stanbon)

An angles measure is 18 more than 3 times its complement. Find the measure of the angle... (answered by lwsshak3)

The measure of the supplement of an angle is 40 more than two times the measure of the... (answered by Flannery)