Question

enter the given angle measure into the diagram.
given:
am⊥cx.
m∠maq = 70°.
enter the measures and reasons to justify each step needed
to calculate m∠qac.
m∠qac=
diagram notes:

Explanation:

Step1: Analyze the given information

We know that \(AM\perp CX\), so \(m\angle MAC = 90^{\circ}\). Also, \(m\angle MAQ=70^{\circ}\).

Step2: Use the angle - addition formula

By the angle - addition formula \(m\angle QAC=m\angle QAM + m\angle MAC\). Substituting the values, we get \(m\angle QAC = 70^{\circ}+20^{\circ}\)

Answer:

\(90^{\circ}\)