Question

1. find m∠sut if m∠sut + m∠tuw = 180° and m∠tuw = 105°

Explanation:

Step1: Substitute given angle value

Given $m\angle SUT + m\angle TUW=180^{\circ}$ and $m\angle TUW = 105^{\circ}$, we substitute $m\angle TUW$ into the equation: $m\angle SUT+105^{\circ}=180^{\circ}$.

Step2: Solve for $m\angle SUT$

Subtract $105^{\circ}$ from both sides of the equation: $m\angle SUT=180^{\circ}- 105^{\circ}$.
$m\angle SUT = 75^{\circ}$

Answer:

B. $75^{\circ}$