The angles are complementary snd the measure if the larger is four times the measure of the smaller

Step-by-step explanation:

First we have to assume the smaller angle.

Let,

the smaller angle is x

Since, larger angle is 4 times the measure of smaller angle.

So, the larger angle is 4x

Now, these angle are complementary.

we know,

sum of complementary angles is 90

So, we get

x+4x=90

or, 5x=90

dividing by 5

x=90/5

=18

So, smaller angle is 18

and larger angle is

18x4=72