Question

triangle are shown in the figure below. solve for x. 54° (7x+1)°

Explanation:

Step1: Recall triangle angle sum

A right triangle has angles summing to \(180^\circ\), with one right angle (\(90^\circ\)). So, \(54^\circ + 90^\circ + (7x + 1)^\circ = 180^\circ\).

Step2: Simplify the equation

Combine like terms: \(54 + 90 + 7x + 1 = 180\) → \(145 + 7x = 180\).

Step3: Solve for x

Subtract 145: \(7x = 180 - 145 = 35\). Divide by 7: \(x = \frac{35}{7} = 5\).

Answer:

\(x = 5\)