Question

Find the measure of the missing angles.

Answer 1

d=90, e=49, f=131

d is supplementary to 90 degrees, so it equals 90 degrees.
e is a vertical angle with the angle marked 49 degrees, so it is also 49.
f is supplementary to 49 degrees, so it is 180-49=131 degrees.

Answer 2

Explanation:

First of all, D is the supplement to the right angle. Together they equal 180 degrees providing the right angle is sitting on a line.

d + 90 = 180 Subtract 90 from both sides.

d = 180 - 90

d = 90

e is vertically opposite the 49 degree angle. Therefore e = 49 (that's what vertically opposite angles do).

f is supplementary to e. Together they add to 180

e + f = 180 But you know e is 49 so

49 + f = 180 Subtract 49 from both sides.

f = 180 - 49

f = 131