Question

M2T2 Check for Understanding 1 G.co.C.10 . 5 G.co.C.9 - S Namit. 1. The degree measures of △DOG are represented by x,3x, and 5x−54. (G.CO.C.10) Must show work for credit a) Set up an equation to find x b) Find the value of x

Answer 1

To find the value of x in triangle △DOG with angles measured as x, 3x, and 5x−54, set up an equation considering the sum of angles in a triangle (180 degrees) and solve for x, resulting in x = 26.

Step-by-step explanation:

To solve for the value of x in a triangle △DOG with angle measurements represented by x, 3x, and 5x−54, we use the fact that the sum of the angles in a triangle is always 180 degrees.

1. Set up the equation based on the sum of the angles: x + 3x + (5x − 54) = 180.
2. Simplify the equation: 9x − 54 = 180.
3. Add 54 to both sides: 9x = 234.
4. Divide both sides by 9 to find x: x = 26.

Therefore, the value of x is 26.