Question

in the diagram, m∠acb = 62. find m∠ace. m∠ace = □°

Explanation:

Step1: Identify angle - relationship

$\angle ACE$ and $\angle ACB$ are complementary angles (as indicated by the right - angle symbol).

Step2: Use the complementary - angle formula

Complementary angles add up to 90 degrees. Let $m\angle ACE=x$ and $m\angle ACB = 62^{\circ}$. Then $x+62^{\circ}=90^{\circ}$.

Step3: Solve for $m\angle ACE$

$x=90^{\circ}-62^{\circ}$.
$x = 28^{\circ}$

Answer:

$28$