Question

enter the given angle measure into the diagram.
given:
\\( \overline { o d } \perp \overline { m b } \\).
\\( m \angle d o c = 20 ^ { \circ } \\).
enter the measures and reasons to justify each step needed
to calculate \\( m \angle c o m \\).
\\( m \angle c o m = \\)
diagram notes:

Explanation:

Step1: Use the property of perpendicular lines

Since \( \overline{OD}\perp\overline{MB}\), \(m\angle DOM = 90^{\circ}\).

Step2: Use the angle - addition formula

We know that \(m\angle DOM=m\angle DOC + m\angle COM\).
Substituting the known values: \(90^{\circ}=20^{\circ}+m\angle COM\).

Step3: Solve for \(m\angle COM\)

Using the subtraction property of equality: \(m\angle COM=90^{\circ}- 20^{\circ}\).

Answer:

\(70\)