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3 years ago

Im so confused please help with 5 and 6

Mathematics

2 answers:

Drupady [299]3 years ago

8 0

Answer:

5)102,78

6)56,56

See THE IMAGE FOR SOLUTION 

Elena-2011 [213]3 years ago

3 0

Answer:

78° and 65°

Step-by-step explanation:

(5)

The 2 angles lie on a straight line and sum to 180° , that is

x + 84 + x + 108 = 180

2x + 192 = 180 ( subtract 192 from both sides )

2x = - 12 ( divide both sides by 2 )

x = - 6

Then

x + 84 = - 6 + 84 = 78°

(6)

the angle opposite 8x is 9x - 7 ( corresponding to the 9x - 7 )

So 8x and 9x - 7are vertical angles and congruent

9x - 7 = 8x ( subtract 8x from both sides )

x - 7 = 0 ( add 7 to both sides )

x = 7

Then

9x - 7 = 9(7) - 7 = 63 - 7 = 56°

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