Question

The size of angle DEF

Answer 1

Answer

132 degrees

Step-by-step explanation:

Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF

The sum of the four angles of any quadrilateral is 360 degrees.

Since three angles are given, we can use that to find the fourth.

360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.

Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).

DEB+DEF=180

48+DEF=180

DEF=180-48=132 degrees.

Thus, angle DEF is equal to 132 degrees.