the angles of a triangle measure the 3x ,3x+10,and 3x-10.find the value of x and calculate each other
Answers
Step-by-step explanation:
a + b + c = 180 ( sum of all angles of triangle = 180 °)
3x + 3x + 10 + 3x -10 = 180°
9x + 0 = 180°
x = 180°/ 9
x = 20°
a = 3x = 3×20 =60°
b= 3x + 10 = 3 × 20 +10 = 70°
c = 3x - 10 = 3× 20 -10 = 50 °
hope it helps !
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The angles of the triangle measure 60 degrees, 70 degrees, and 50 degrees.
In a triangle, the sum of the angles is always 180 degrees. Therefore, we can write an equation based on the given angles:
3x + (3x+10) + (3x-10) = 180
Simplifying the equation:
9x = 180
x = 20
Now we can use this value of x to calculate each angle:
Angle 1 = 3x = 3(20) = 60 degrees
Angle 2 = 3x + 10 = 3(20) + 10 = 70 degrees
Angle 3 = 3x - 10 = 3(20) - 10 = 50 degrees
Therefore, the angles of the triangle measure 60 degrees, 70 degrees, and 50 degrees.
For such more questions on triangle,
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