Get the answer to "Solving Multl-Step Equations (continued)"

High School
Geometry
Trigonometry
Right triangles and trigonometry

bobbie71G

Answered question

2021-07-04

Solving Multl-Step Equations (continued)

Answer & Explanation

liingliing8

Skilled2021-07-05Added 95 answers

Using the upper left corner, $t = 90$
The upper left triangle is a right isosceles $(45 - 45 - 90)$ triangle so: $x = 45$
We have an equilateral triangle having all angles n: $n = 60$
Using Angle Addition Postulate on the upper center of the figure, $x + n + p = 180$
$45 + 60 + p = 180$
$p = 75$
Using Triangle Sum Theorem on the lower left triangle, $p + p + m = 180$
$75 + 75 + m = 180$
$m = 30$
Using the lower left corner, $p + s = 90$
$75 + s = 90$
$s = 15$
Using Triangle Sum Theorem on the right-hand triangle, $(t + 5) + n + w = 180$
$(90 + 5) + 60 + w = 180$
$w = 25$
Using the upper right corner, $f + w = 9$
$f + 25 = 90$
$f = 65$
Using Triangle Sum Theorem on the p — f — y triangle, $p + f + y = 180$
$75 + 65 + y = 180$
$y = 40$
Using Triangle Sum Theorem on the bottom triangle, $k + s + m = 180$
$k + 15 + 30 = 180$
$k = 135$

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