the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of…
the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 2 x =
Answer
Explanation:
Step1: Recall angle - sum property
The sum of the interior angles of a triangle is 180°. So, $(3x - 15)+48 + 90=180$.
Step2: Simplify the left - hand side
Combine like terms: $3x-15 + 48+90=3x+( - 15+48 + 90)=3x + 123$. So, $3x+123 = 180$.
Step3: Isolate the variable term
Subtract 123 from both sides: $3x+123-123=180 - 123$, which gives $3x=57$.
Step4: Solve for x
Divide both sides by 3: $\frac{3x}{3}=\frac{57}{3}$, so $x = 19$.
Answer:
$19$