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Mashcka [7]
4 years ago
6

M∠ABD is a straight angle m∠CBD=8x+16 m∠ABC=6x−60

Mathematics
3 answers:
raketka [301]4 years ago
6 0

Answer:36^{\circ}

Step-by-step explanation:

A straight angle means that the angle has a measure of 180 degrees. Therefore:

CBD+ABC=180 \\\\(8x+16)+(6x-60)=180 \\\\14x-44=180\\\\14x=224\\\\x=16\\\\6x-60=6(16)-60=96-60=36

Hope this helps!

FrozenT [24]4 years ago
6 0

Answer:

m∠ABC = 36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180       Add both angles to equal 180

14x - 44 = 180

     + 44   + 44                     Add 44 to both sides

14x = 224                            Divide both sides by 14

x = 16

Plug this into the equation for angle ABC

6(16) - 60                             Multiply

96 - 60                                Subtract

m∠ABC = 36

Dani1653 years ago
0 0

Idkkianajvbw fan dykxmyxtjzjtzhzhz

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