Question

find the measure of angle ∠aeb in the figure below. enter only the number. the solution is

Explanation:

Step1: Identify angle - relationship

$\angle AEB$ and the $48^{\circ}$ angle are complementary.

Step2: Use complementary - angle formula

Complementary angles sum to $90^{\circ}$. Let $x = \angle AEB$. Then $x+48^{\circ}=90^{\circ}$.

Step3: Solve for $\angle AEB$

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

Answer:

42