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Solve for z in the figure below.
asked
Sep 24, 2023
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Solve for z in the figure below.
Mathematics
high-school
Coberty
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Answer:
z = 54
Explanation:
x° = 45°
(vertical angles)
5y° + 45° = 180° (Linear pair angles)
-> 5y° = 180° - 45°
-> 5y° = 135°
-> y° = 135°/5
->
y° = 27°
Next, find the measures of the angles of the triangle.
x° + 3y° + z° = 180° (By interior angle sum theorem of a triangle)
-> 45° + 3(27°) + z° = 180°
-> 45° + 81° + z° = 180°
->126° + z° = 180°
-> z° = 180° - 126°
-> z° = 54°
-> z = 54
Unreality
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Sep 29, 2023
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Unreality
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