the measures of the angles of a triangle are shown in the figure below. solve for x.\nanswer attempt 1 out…
the measures of the angles of a triangle are shown in the figure below. solve for x.\nanswer attempt 1 out of 2\n$x = $
Answer
Explanation:
Step1: Recall angle - sum property
The sum of the interior angles of a triangle is 180°. So, we have the equation $(7x + 8)+102 + 28=180$.
Step2: Simplify the left - hand side
Combine like terms: $7x+(8 + 102+28)=7x + 138$. So the equation becomes $7x+138 = 180$.
Step3: Isolate the variable term
Subtract 138 from both sides of the equation: $7x=180 - 138$, which simplifies to $7x = 42$.
Step4: Solve for x
Divide both sides by 7: $x=\frac{42}{7}$.
Answer:
$x = 6$