Question

find the measure of \\( \angle ptu \\).
\\( m \angle ptu = \square ^ { \circ } \\)

Explanation:

Step1: Identify vertical angles

$\angle PTN = \angle RUO$, so $x + 41 = 3x + 43$

Step2: Solve for x

$x - 3x = 43 - 41$ → $-2x = 2$ → $x = -1$

Step3: Calculate $\angle PTU$

$\angle PTU = x + 41 = -1 + 41 = 40$

Answer:

40