Question

1. identify the angles as complementary or supplementary. then find the missing angle. m∠blx =

Explanation:

Step1: Determine the type of angles

The two angles form a right - angle (90°). So they are complementary.

Step2: Use the complementary angle formula

Let the missing angle $\angle BLX$ be $x$. Complementary angles add up to 90°. So $x + 42^{\circ}=90^{\circ}$.

Step3: Solve for the missing angle

$x=90^{\circ}- 42^{\circ}=48^{\circ}$

Answer:

$48^{\circ}$