Question

Find the measure of the missing angles.

Answer 1

F = 29

E= 151

D = 90

Explanation:

For F:

The angle F is on a 180 degree angle with a degree next to it that is 151. To get the value F subtract 180-151 and you get 29.

For E: If F is 29 then the angle opposite of F is also 29. So again to find the measure of angle E, subtract 180 minus 29 and you get 151.

For D: D is also lying on a 180 degree angle. The angle next to it is 90. To get 180 add 90. 90 is the measure of angle d.

Answer 2

• d = 90°,
• e = 151°,
• f = 29°.

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Angle d is linear pair with a right angle, therefore:

• d = 180° - 90°
• d = 90°

Angle e is vertically opposite with 151° and therefore they are congruent:

• e = 151°

Angle f is adjacent with 151° and forming a linear pair, therefore:

• f = 180° - 151°
• f = 29°