Question

what is the m∠r?

Explanation:

Step1: Identify the shape

The figure is a parallelogram (opposite sides are equal and parallel).

Step2: Use the property of consecutive angles in a parallelogram

In a parallelogram, consecutive angles are supplementary ($\angle R+\angle T = 180^{\circ}$).

Step3: Solve for $\angle R$

Given $\angle T=105^{\circ}$, then $\angle R=180^{\circ}-\angle T$.
Substitute $\angle T = 105^{\circ}$ into the formula: $\angle R=180^{\circ}- 105^{\circ}=75^{\circ}$.

Answer:

$75^{\circ}$