Question

solving for angle measures
given: the labeled angles form a right angle.
the two labeled angles are complementary angles.
that means that their measures sum to 90°.
use the relationship you determined to write an equation to help you solve for x.
(6x - 25)°
(4x)°

Explanation:

Step1: Identify the angle relationship

The two angles \((6x - 25)^\circ\) and \((4x)^\circ\) are complementary, so their sum is \(90^\circ\).

Step2: Write the equation

Add the two angle expressions and set equal to \(90\): \((6x - 25)+4x = 90\)

Answer:

\((6x - 25)+4x = 90\)