Question

what is the value of m?

Explanation:

Step1: Identify angle - type

Assume the angle with measure \(m\) and the \(34.2^{\circ}\) angle are complementary (since there is a right - angle symbol).

Step2: Use complementary angle formula

Complementary angles add up to \(90^{\circ}\). So \(m + 34.2^{\circ}=90^{\circ}\), then \(m=90^{\circ}- 34.2^{\circ}\).

Step3: Calculate \(m\)

\(m = 90 - 34.2=55.8^{\circ}\)

Answer:

\(55.8\)