Question

in the diagram, m∠acb = 59. find m∠ace. m∠ace = □°

Explanation:

Step1: Identify angle - relationship

We know that $\angle ACE$ and $\angle ACB$ are complementary angles (since the angle between $CE$ and $CA$ and $CB$ and $CA$ forms a right - angle).

Step2: Use the complementary - angle formula

If two angles are complementary, the sum of their measures is $90^{\circ}$. Let $m\angle ACE=x$ and $m\angle ACB = 59^{\circ}$. Then $x+59^{\circ}=90^{\circ}$.

Step3: Solve for $m\angle ACE$

$x=m\angle ACE=90^{\circ}- 59^{\circ}$.
$m\angle ACE = 31^{\circ}$

Answer:

$31$