Question

res of the angles of a triangle are shown in the figure below. solve for

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. So, $54^{\circ}+90^{\circ}+(7x + 1)^{\circ}=180^{\circ}$.

Step2: Simplify the left - hand side of the equation

$54 + 90+7x + 1=180$. Combine like terms: $145+7x=180$.

Step3: Solve for $x$

Subtract 145 from both sides: $7x=180 - 145$, so $7x = 35$. Then divide both sides by 7: $x=\frac{35}{7}=5$.

Answer:

$x = 5$