Question

what is the value of t? 42.7° 27.9°

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is $360^{\circ}$. But if we consider the non - overlapping angles formed by the intersection of the lines, we can use the fact that the sum of angles in a linear pair or the relationship between angles at the intersection. Here, we know that the sum of the three given angles and $t$ should be $180^{\circ}$ (assuming they are part of a linear arrangement of angles).

Step2: Set up the equation

$t + 42.7^{\circ}+27.9^{\circ}=180^{\circ}$

Step3: Solve for $t$

$t=180^{\circ}-(42.7^{\circ} + 27.9^{\circ})$
$t=180^{\circ}-70.6^{\circ}$
$t = 109.4^{\circ}$

Answer:

$109.4$