Question

find the measure of the missing angles. answer d = ° e = ° f = ° submit answer

Explanation:

Step1: Use angle - sum property of a straight - line

A straight - line forms an angle of 180°. For the angles 27° and d on a straight - line, we have 27°+d = 180°. So, d=180° - 27° = 153°.

Step2: Use vertical - angle property

Vertical angles are equal. The angle opposite to 131° is e. So, e = 131°.

Step3: Use angle - sum property around a point

The sum of angles around a point is 360°. We know d = 153°, e = 131°, and one of the angles is 27°. Let's find f. 153°+131°+27°+f=360°. First, add the known angles: 153 + 131+27=311°. Then f = 360° - 311° = 49°.

Answer:

d = 153°
e = 131°
f = 49°