Question #2a9aa

1 Answer
Feb 16, 2018

see a step process below;

Explanation:

First you have to know what is supplementary angles..

Well its when either of two angles whose sum is #180°.#

and since you know that one of the angles is #18°# more than the other..

So let the first angle be #= x°#

which makes the second #= x° + 18°#, since its 18 degree more than the other..

Therefore we now have; # x° + x° + 18° = 180°#,

#2x° + 18° = 180°#

Subtract both sides by #18°#

#2x° + 18° - 18° = 180° - 18°#

#2x° = 162°#

Divide both sides by #2#

#(2x°)/2 = (162°)/2#

#x = (162°)/2#

#x = 81°#

Now solving for the second angle which is #= x° + 18° = 81° + 18° = 99°#

Hence both angles are; #81° and 99°# respectively..

Sum them up (#81° + 99° = 180°# which is supplementary

Hope this helps!