Angles LMN and OMP have the following measures:

m∠LMN = (x + 12)°, m∠OMP = (4x − 7)°

If angle LMN and angle OMP are complementary angles, find the value of x.

Use the value of x from Part A to find the measures of angles LMN and OMP.

Could the angles also be vertical angles? Explain.

valueof x will be equal to 35, the angle LMN will beequalto 47° and the angle OMP will beequalto133°## What is a complementary angle?

angles‘measurements, one can determine thecomplementand supplement of the two angles.Complementaryangles are those where thesummationof angles equals the measurements of a right angle.complementaryangle means that the sum ofangleswill be180°.x=35°LMN = 47°OMP = 133°complementary angles:A)

Complementary means it adds to 180.

You have to set the two angles equal to 180 like so:

x+12+4x-7=180

Simplify

5x+5=180

5x=175

x=35

B)

Plug the value of X into the Two angles and solve:

35+12

=47 For angle one

4(35)-7

=133

To check your answer add the solution of both angles.

47+133

=180