Question

Find the measure of ZMOP.M4х - 42х - 2кPо60120o o o o13431« Previous

Answer 1

By supplementary angles, we have

`m\angle KOM+m\angle MOP=180`

Let's replace each expression.

`4x-4+2x-2=180`

Now, we solve for x.

`\begin{gathered} 6x-6=180 \\ 6x=180+6 \\ x=(186)/(6) \\ x=31 \end{gathered}`

Once we know the value of the variable, we find angle MOP.

`\begin{gathered} m\angle MOP=2x-2=2\cdot31-2=62-2 \\ m\angle MOP=60 \end{gathered}`

Therefore, the answer is 60°.