Question

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

Explanation:

Step1: Find angle d

Use vertical - angle property. The angle vertical to the sum of 69° and 32° is d. So d=69 + 32.
$d=69^{\circ}+32^{\circ}=101^{\circ}$

Step2: Find angle e

Since vertical angles are equal, e is vertical to 32°. So e = 32°.
$e = 32^{\circ}$

Step3: Find angle f

The sum of angles around a point is 360°. We know d = 101°, e = 32°, and the right - angle part is 90°. Also, the given 69° angle. So f=360-(90 + 69+101 + 32). Another way is to use the fact that f and 69° are vertical angles. So f = 69°.
$f = 69^{\circ}$

Answer:

$d = 101^{\circ}$
$e = 32^{\circ}$
$f = 69^{\circ}$