The ratio of an angle to its complement is 13:5. Find the measures of the angle and its supplement. ?

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Answer 1 · 2017-10-08T20:51:46

#65^o# supplement is #115^o#
#25^o# supplement is #155^o#

Since an angle and its complement add up to #90^o#:

Ratio:

#13:5#

Add the ratio numbers and divide them into #90^o#

#90/18=5#

So angles are:

#13xx5=65^o#

#5xx5=25^o#

An angle and its supplement add up to #180^o#

so:

#180^o-65^o=115^o#

#180^o-25^0=155^o#

I assume you are referring to the first angle, but have given you both so you can choose which is required.