Question

Find the measure of the smaller angle.if its complement is 30° more than four times the smaller angle.

Answer 1

Since complementary angles add to 90°,

x + (30+4x) = 90

Answer 2

Let x = angle
It was said the other angle is 30 deg more than four more the smaller, so
Let 4x + 30 = other angle

Since complementary angles sum up to 90 deg,
x + 4x + 30 = 90
5x + 30 = 90
x = ?

Now solve for x.
Hope this helps~ `u`