Question

The figure includes lines L & M. Use the information in the figure to determine the measure of each angle.XYMWhat is the relationship between the angles whose measures are X and Y . Explain.

Answer 1

X and Y are supplementary angles, both add to 180°.

The square angle is a right angle (90°) .

90 + 51 + z = 180°

Solve for z

z = 180 - 90 - 51

z = 39°

Also:

90 + 51 + x = 180

x = 180 -51 - 90

x = 39°

x and z are opposite angles ( opposite angles are equal)

Finally,

y + x = 180

y + 39 = 180

y= 180 - 39

Y= 141

Answers:

x = 39°

y= 141°

z= 39°

x and y are supplementary angles ( add up to 180°)