Question

question 3
1 pts
what is the value of e?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. Let the third interior angle of the triangle be $x$. So, $x + 60^{\circ}+69^{\circ}=180^{\circ}$.

Step2: Solve for the third - interior angle $x$

$x=180^{\circ}-(60^{\circ} + 69^{\circ})=180^{\circ}-129^{\circ}=51^{\circ}$.

Step3: Use the linear - pair property

The angle $e$ and the third - interior angle $x$ form a linear pair. Since the sum of angles in a linear pair is 180°, and $x = 51^{\circ}$, then $e=180^{\circ}-51^{\circ}$.

Step4: Calculate the value of $e$

$e = 129^{\circ}$.

Answer:

$129^{\circ}$