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problem 19: if y = 5x and z = 4x, find x.

Question

problem 19: if y = 5x and z = 4x, find x.

Explanation:

Step1: Assume the sum of angles is 180°

$x + y+z=180$

Step2: Substitute y and z

Substitute $y = 5x$ and $z = 4x$ into $x + y+z=180$. We get $x+5x + 4x=180$.

Step3: Combine like - terms

$(1 + 5+4)x=180$, so $10x=180$.

Step4: Solve for x

Divide both sides by 10: $x=\frac{180}{10}=20$.

Answer:

$20$