The degree measures of the angles of triangle ABC are represented by 2x+8,x-8 and 2x-20,state the measure of each angle
Don't all three angles add up to 180° ?
Use this fact to form your equation, then solve it
To find the measure of each angle of triangle ABC, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Let's set up an equation using the given angle measures:
(2x + 8) + (x - 8) + (2x - 20) = 180
Now, let's solve for x:
Combine like terms: 2x + x + 2x + 8 - 8 - 20 = 180
Simplify: 5x - 20 = 180
Add 20 to both sides: 5x = 200
Divide both sides by 5: x = 40
Now that we have the value of x, we can substitute it back into the expressions for the angle measures to find their values:
Angle A = 2x + 8 = 2(40) + 8 = 88 degrees
Angle B = x - 8 = 40 - 8 = 32 degrees
Angle C = 2x - 20 = 2(40) - 20 = 60 degrees
Therefore, the measure of Angle A is 88 degrees, Angle B is 32 degrees, and Angle C is 60 degrees.