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2021-08-20

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Solving Multl-Step Equations (continued)

Demi-Leigh Barrera

Skilled2021-08-21Added 97 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

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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