Question

Find the measure of the missing angles.

d=
e=
e
d
129⁰
f
f=

Answer 1

d = 90° , e = 129° , f = 51°

Explanation:

d and 90° are a linear pair and sum to 180° , that is

d + 90° = 180° ( subtract 90° from both sides )

d = 90°

e and 129° are vertically opposite angles and are congruent , then

e = 129°

f and 129° are a linear pair and sum to 180° , that is

f + 129° = 180° ( subtract 129° from both sides )

f = 51°

Answer 2

Explanation:

e = 129° ( being vertically opposite angle )

Now ,

f + 129° = 180° ( being the angle in linear pair )

Again ,

d + 90° = 180° ( being the angle in linear pair )

d = 180° - 90°

d = 90°

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