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jacamron
27.06.2019 •
Mathematics
Me with these two problems. it's fine if you only do one though. all is welcomed. !
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Answers on questions: Mathematics
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Ответ:
a) x=38
b) x=19
Step-by-step explanation:
a) The interior angles at L and M can be found by subtracting 134 and 84 from 180 respectively:
∠L = 180 - 134 = 46
∠M = 180 - 84 = 96
The angles of a triangle sum up to 180, so x + 46 + 96 = 180.
From this you find that x = 180 - 46 - 96 = 38
b) Because YZ and XW are parallel, ∠Y=∠W = 2x
The sum of the angles in the triangle must be 180, so
3x-5 + 90 + 2x = 180
Which simplifies to
5x +85 = 180
5x = 95
x = 19
Ответ:
a) x = 38°; b) x = 19°
Step-by-step explanation:
a)
∠OLM = 180 - 134 = 46° Supplementary angles
∠OML =180 - 84 = 96° Supplementary angles
x + 46 + 96 = 180 Interior angles of triangle
x + 142 = 180
x = 38°
b)
∠XWY + 3x - 5 + 90 = 180 Interior angles of triangle
∠XWY + 3x + 85 = 180
(1) ∠XWY + 3x = 95
∠XWY = 2x
(2) ∠XWY - 2x = 0 Alternate interior angles
5x = 95 [2 subtracted from (1)]
x = 19°
Ответ: