Question

solve for the value of x in the triangle shown. 135° x° 2x° o 20 o 15 o 16 o 18

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, $x + 2x+135=180$.

Step2: Combine like - terms

Combining the $x$ terms, we get $3x + 135=180$.

Step3: Isolate the variable term

Subtract 135 from both sides: $3x=180 - 135$, so $3x = 45$.

Step4: Solve for x

Divide both sides by 3: $x=\frac{45}{3}=15$.

Answer:

B. 15