Question

Sailor SheftalAngle Terminology with EquationsAug 02, 10:00:18 AM?ZA and ZB are vertical angles. If m_A = (2x – 10° and m B = (2+8)°,then find the measure of ZA.Answer:Submit Answerattempt 1 out of 2

Answer 1

We have

The vertical angles have equal measure, therefore:

`\begin{gathered} \angle A=\angle B \\ 2x-10=x+8 \end{gathered}`

then solve for x

`\begin{gathered} 2x-10+10=x+8+10 \\ 2x=x+18 \\ 2x-x=x+18-x \\ x=18 \end{gathered}`

So, angle A is:

`\angle A=2x-10=2(18)-10=36-10=26`

Answer: