Which equations are true for the values of x, y, and z in the
figure? Select all that apply.
x° +105° = 180°
xº = zº
105° - y° = 90°
xº + yº +z° = 180°
180° –z° = yº
xº + y° = 105°

Which equations are true for the values of x y and z in the figure Select all that apply x 105 180 xº zº 105 y 90 xº yº z 180 180 z yº xº y 105 class=

Respuesta :

Answer:

x°+ 105° = 180° (straight angle)

x° = z° (vertically opposite angles)

y°+z°= 180°

=> y°= 180°-z°

or, 180°-z°= y°

Based on the vertical angles theorem and the definition of a straight line angle, the following equations are true:

A. x° +105° = 180°

B. xº = zº

E. 180° –z° = yº

What is the Vertical Angles Theorem?

The vertical angles theorem states that if two angles are vertically opposite each other, then they are congruent to each other.

Note: Angles on a straight line = 180°.

Given the image below, we have the following equations that are true:

A. x° +105° = 180° (straight line angles)

B. xº = zº (vertical angles theorem)

E. 180° –z° = yº (straight line angles)

Learn more about vertical angles theorem on:

https://brainly.com/question/1673457

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