Question

In the figure below, m2 = 49. Find mx 1.

Answer 1

By definition, a Right angle is an angle that measures 90 degrees.

Complementary angles are those angles that add up to 90 degrees.

For this case, you can identify that the angle 1 and the angle 2 are Complementary angles, because when you add them, you get 90 degrees (a Right angle).

Knowing the above, you can set up the following equation:

`m\angle1+m\angle2=90\degree`

Since you know that:

`m\angle2=49\degree`

You can substitute this value into the equation and the solve for the angle 1 in order to find its measure. You get that this is:

`\begin{gathered} m\angle1+49\degree=90\degree \\ m\angle1=90\degree-49\degree \\ m\angle1=41\degree \end{gathered}`

The answer is:

`m\angle1=41\degree`