Two angles in a triangle measure 33° and 112° What is the measure of the third angle?
2 answers:
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Answer: x=63, y=52, z=48
Step-by-step explanation:
The complete question in english is:
The sum of 3 natural numbers is 163. By subtracting the third number from the sum of the first two numbers, we get 67. By subtracting the first number from the sum of the last 2 numbers, we get 37. Determine the 3 numbers
According to this we have a system with three equations and three unknown values:
(1)
(2)
(3)
Let's begin by isolating from (1):
(4)
And substitute (4) in (2):
(5)
Isolating :
(6) We have found the first number
Substituting (6) in (1):
(7)
Adding (7) to (3):
We have the following:
Isolating :
(8) This is the second number
Substituting (6) and (8) in (1):
(9)
Isolating :
(10) This is the third number