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marissa [1.9K]
3 years ago
5

I’m so confused, I will try to mark brainliest, sorry if I can’t figure it out.

Mathematics
2 answers:
jonny [76]3 years ago
7 0

Answer and Step-by-step explanation:

<u>The answers are:</u>

x + 105 = 180 (Supplementary angles = 180 degrees)

x = z (Vertical angles are congruent)

180 - z = y (Supplementary angles = 180 degrees)

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

Genrish500 [490]3 years ago
5 0

Answer:

x^{\circ}+105^{\circ}=180^{\circ},\\x^{\circ}=z^{\circ},\\180^{\circ}-z^{\circ}=y^{\circ}

Step-by-step explanation:

<u>Statement 1</u>:

True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.

<u>Statement 2</u>:

True - These two angles are vertical angles (opposite to each other at intersection of two lines). All vertical angles are equal.

<u>Statement 3</u>:

False - These two angles are vertical and therefore are equal. Thus, they cannot have a difference of 105.

<u>Statement 4</u>:

False - Two of these angles form one side of a line which is equal to 180 degrees. Since the third angle is greater than zero, they cannot all add up to 180 degrees.

<u>Statement 5</u>:

True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.

<u>Statement 6</u>:

False - These two angles are supplementary (add up to 180 degrees) because they form one side of a line and therefore cannot be equal to 105.

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