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3 years ago

Find the measure of the missing angles.

Mathematics

1 answer:

Yuri [45]3 years ago

3 0

Answer:

d = 102° , e = 56° , f = 22°

Step-by-step explanation:

d and 102° are vertically opposite angles and congruent , so

d = 102°

e and 56° are vertically opposite angles and are congruent , so

e = 56°

f, d and e lie on a straight line and sum to 180° , then

f + d + e = 180° , that is

f + 102° + 56° = 180°

f + 158° = 180° ( subtract 158° from both sides )

f = 22°

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we have that

*-------------------------*--------------------------------*

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we know that

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EF=2x-12-------> EF=2*10-12-------> EF=8

FG= 3x-15------> FG=3*10-15------> FG=15

therefore

the answer part a) is

the value of x is 10

the answer part b) is

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the answer part c) is

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