Question

find the measure of the missing angles. answer attempt 1 out of 2 d = ° e = ° f = °

Explanation:

Step1: Find angle d

Vertical - angles are equal. Angle d and the 121 - degree angle are vertical angles.
$d = 121^{\circ}$

Step2: Find angle f

The sum of angles on a straight - line is 180 degrees. Let's consider the straight - line with the 121 - degree angle and angle f.
$f=180 - 121=59^{\circ}$

Step3: Find angle e

The sum of angles around a point is 360 degrees. We know that one angle is 121 degrees, another is 20 degrees, and we can also use the fact that we can consider a different straight - line relationship. Considering the straight - line with angle f and angle e and the 20 - degree angle, we know that the sum of angles on a straight - line is 180 degrees.
$e = 180-(20 + 59)=101^{\circ}$

Answer:

$d = 121^{\circ}$, $e = 101^{\circ}$, $f = 59^{\circ}$