Question

# Solving Multl-Step Equations (continued)

Right triangles and trigonometry

Solving Multl-Step Equations (continued)

2021-07-05

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, $$k+s+m=180$$
$$k+15+30=180$$
$$k=135$$