Question

in the diagram, m∠acb = 68. find m∠bcd. m∠bcd = □°

Explanation:

Step1: Identify angle - relationship

$\angle ACB$ and $\angle BCD$ are complementary angles (as indicated by the right - angle symbol at the intersection of the lines).

Step2: Use the complementary - angle formula

If two angles $\angle ACB$ and $\angle BCD$ are complementary, then $m\angle ACB + m\angle BCD=90^{\circ}$. Given $m\angle ACB = 68^{\circ}$, we can find $m\angle BCD$ by the formula $m\angle BCD=90^{\circ}-m\angle ACB$.

Step3: Calculate the angle measure

$m\angle BCD = 90 - 68=22^{\circ}$

Answer:

$22$