Question

what is the value of t? 70° 41° t

Explanation:

Step1: Recall vertical - angle property

Vertical angles are equal. The angle opposite the $70^{\circ}$ angle is also $70^{\circ}$.

Step2: Use angle - sum property

The sum of angles around a point is $360^{\circ}$. But considering the non - overlapping angles in the relevant part, we know that the sum of the three angles $41^{\circ}$, $t$, and the $70^{\circ}$ vertical - angle equivalent is $180^{\circ}$ (since they form a straight - line). So, $t+41^{\circ}+70^{\circ}=180^{\circ}$.

Step3: Solve for $t$

We can rewrite the equation as $t = 180^{\circ}-(41^{\circ}+70^{\circ})$. First, calculate $41^{\circ}+70^{\circ}=111^{\circ}$. Then $t=180^{\circ}-111^{\circ}=69^{\circ}$.

Answer:

$69$