Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer attempt 1 out of 2
$x=$

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, $(2x + 17)+57 + 90=180$.

Step2: Simplify the left - hand side

Combine like terms: $2x+17 + 57+90=2x+(17 + 57+90)=2x + 164$. So, $2x+164 = 180$.

Step3: Solve for x

Subtract 164 from both sides: $2x=180 - 164$, which gives $2x = 16$. Then divide both sides by 2: $x=\frac{16}{2}=8$.

Answer:

$x = 8$