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yuradex [85]
3 years ago
9

Find the value of Y, X and Z and please give the full explanation

Mathematics
2 answers:
Nikitich [7]3 years ago
7 0
-------------------------------------------------
Find value of y
-------------------------------------------------
∠y = 60° (corresponding angle)

-------------------------------------------------
Find value of z
-------------------------------------------------
∠z = 55° (corresponding angle)

-------------------------------------------------
Find value of x
-------------------------------------------------
∠x = 180 - 60 - 55 = 65° (sum of angles in a triangle is 180°)

-------------------------------------------------
Answer: x = 65° ; y = 60° ; z = 55°
-------------------------------------------------
GREYUIT [131]3 years ago
4 0
The bases of triangles are paralleles, so the angles are the same, the sum og the interior angles are always 180° in a triangle, so 180 - 55 -60 = 65°

x = 65°
y = 60°
z = 55°
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Hi there!  

»»————- ★ ————-««

I believe your answer is:  

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»»————- ★ ————-««  

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⸻⸻⸻⸻

\text{\underline{The distance formula is:}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

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\boxed{\text{Calculating the answer....}}\\\\d = \sqrt{(1-6)^2+(0-(-3))^2}\\--------------\\\rightarrow d = \sqrt{(-5)^2+(3)^2}\\\\\rightarrow d = \sqrt{(25+9)}\\\\\rightarrow d =\boxed{ \sqrt{34} }

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