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Alex_Xolod [135]
3 years ago
6

3. Triangle ABC has angle measures as shown. a) What is the value of x? Show your work.

Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0
As always, the sum of the measures of the angles in a triangle is 180°.

(x -5) +(3x +30) +35 = 180
4x +60 = 180 . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . divide by 4

a) The value of x is 30.
satela [25.4K]3 years ago
3 0
The sum of the angles in a triangle is 180°, therefore:
(x - 5) + (3x + 30) + 35 = 180
x - 5 + 3x + 30 + 35 = 180
Sum up x + 3x
4x  - 5 + 30 + 35 = 180
Sum up all the numbers
4x + 60 = 180
Substract 60 from both sides
4x = 120
And finally divide by 4 (on both sides)
x = 30

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