Question

16 find the value of x using the triangle sum theorem.

Explanation:

Step1: Apply triangle - sum theorem

The sum of interior angles of a triangle is 180°. So, $2x+(3x + 5)+90=180$.

Step2: Combine like - terms

Combine the $x$ terms and constants: $(2x+3x)+(5 + 90)=180$, which simplifies to $5x+95 = 180$.

Step3: Isolate the variable term

Subtract 95 from both sides: $5x=180 - 95$, so $5x=85$.

Step4: Solve for x

Divide both sides by 5: $x=\frac{85}{5}$.

Answer:

$x = 17$