Question

the measure of an angle is 16 less than 3 times the measure of its complement. find the measure of each angle. angle 1 = angle 2 =

Explanation:

Step1: Define the variables

Let the measure of the angle be $x$ and its complement be $90 - x$.

Step2: Set up the equation

We are given that $x=3(90 - x)-16$.

Step3: Expand the right - hand side

$x = 270-3x - 16$.

Step4: Combine like terms

$x+3x=270 - 16$.
$4x=254$.

Step5: Solve for $x$

$x=\frac{254}{4}=63.5$.
The complement is $90 - 63.5 = 26.5$.

Answer:

Angle 1 = $63.5$
Angle 2 = $26.5$