Find the measure of the indicated angles.
complementary angles with measures $4 x-8$ and $3 x-0$
The angles are
(Simplify your answer. Type an integer or a fraction. Type your answer in degrees. Do not include the degree symbol in your answer. Use a comma to separate answers as needed.)
Answer
Final Answer: The measures of the two angles are \(\boxed{48}\) degrees and \(\boxed{42}\) degrees.
Step 1 ：The problem is asking for the measures of two complementary angles. Complementary angles are two angles that add up to 90 degrees. The two angles are given as \(4x - 8\) and \(3x - 0\). So, we can set up an equation where the sum of the two angles equals 90 degrees: \(4x - 8 + 3x = 90\).
Step 2 ：Solving this equation gives us the value of x as 14.
Step 3 ：Substituting the value of x back into the expressions for the two angles, we find their measures as 48 degrees and 42 degrees.
Step 4 ：Final Answer: The measures of the two angles are \(\boxed{48}\) degrees and \(\boxed{42}\) degrees.
