Question

find the value of x.
diagram: point t with three rays: ts (vertical up), tu (horizontal right, right angle symbol at t between ts and tu), and tv (between ts and tu) with angles (10x)° between ts and tv, (5x)° between tv and tu.
x = blank box

Explanation:

Step1: Identify right angle sum

The angle at \( T \) is a right angle (\( 90^\circ \)), so \( 10x + 5x = 90 \).

Step2: Combine like terms

\( 15x = 90 \).

Step3: Solve for \( x \)

Divide both sides by 15: \( x = \frac{90}{15} = 6 \).

Answer:

\( x = 6 \)