Find the measure of the smaller angle.if its complement is 30° more than four times the smaller angle.
Since complementary angles add to 90°,
x + (30+4x) = 90
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`
To find the measure of the smaller angle, we need to set up an equation based on the information given.
Let's assume the measure of the smaller angle is x.
According to the information given, the complement of the smaller angle is 30° more than four times the smaller angle. The complement of an angle is the angle that, when added to the original angle, equals 90°.
So, we can set up the equation:
x + (4x + 30) = 90
Now, let's solve for x:
5x + 30 = 90
Subtract 30 from both sides:
5x = 60
Divide both sides by 5:
x = 12
Therefore, the measure of the smaller angle is 12 degrees.