Question

In the figure below, m<1 = x and m<2=-4.Which statement could beused to prove that x = 47?

Answer 1

Note that a straight is always 180 degrees

So the sum of the angles :

$\begin{gathered} m\angle1+m\angle2+m\angle3=180 \\ \end{gathered}$

But it is also given that m<3 is 90 degrees

So the equation will be :

$\begin{gathered} m\angle1+m\angle2+90=180 \\ m\angle1+m\angle2=90 \end{gathered}$

So the answer is Choice C. m<1 + m<2 = 90