Answer:
α = 20.5
β = 69.5
c = 90
Step-by-step explanation:
we have to make 2 equations one for the relationship between the angles and another for the sum of all the angles
β and α are the acute angles
β = 3α + 8
α + β + 90 = 180
we replace in the second equation the value of β by (3α + 8)
α + β + 90 = 180
α + (3α + 8) + 90 = 180
a + 3a = 180 - 90 - 8
4a = 82
a = 82/4
a = 20.5
now we replace the value of b in the other equation
β = 3α + 8
β = 3 * 20.5 + 8
β = 69.5
Well, we need to know how much was money the individual started with.
Answer:
using pythagorean theorem
Hypotenuse ²=Adjacent ²+ Opposite ²
Hypotenuse ²=5.6²+7.2²
Hypotenuse ²=83.2
Hypotenuse=√83.2
Hypotenuse=9.12m
15x would be the vertical angle of 16x -8 and since vertical angles are equal, then 15x = 16x -8.
15x = 16x -8
x = 8 and so the angle 15x = 15 * 8
which equals 120 degrees.
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