Stephen H. answered 07/29/21
Tutor of Math, Physics and Engineering ... available online
Note that the internal angles of any triangle must sum to 180 thus 7x-5+3x-2+x=180 which yields x=17 degrees. Thus 7x-5=114 and 3x-2=49.
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asked 07/29/21In the triangle below, suppose that m∠W=(7x-5)° , m∠X=(3x-2)°, and =m∠Y=x°
Find the degree measure of each angle in the triangle.
Stephen H. answered 07/29/21
Tutor of Math, Physics and Engineering ... available online
Note that the internal angles of any triangle must sum to 180 thus 7x-5+3x-2+x=180 which yields x=17 degrees. Thus 7x-5=114 and 3x-2=49.
The sum of interior angles for any triangle is 180
so; 7x -5 + 3x -2 +x = 180. (combine like terms)
11x -7 = 180. (cancel 7)
11x = 187
x= 17
So, m∠Y=x° = 17.
Please plug x into the equations (7x-5)° and (3x-2)° to find these angles. If you need more assistance, please let me know
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