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Anton [14]
3 years ago
5

Can someone help me please

Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

46

Step-by-step explanation:

Solution :

Remember that the sum of complementary angles is always 90°.

First, finding the value of x :

Set up an equation :

( Being complementary angles )

Solve for x

{ Remove unnecessary parentheses }

{ Combine like terms }

{ Subtract 3 from 30 }

{ Move 27 to right hand side and change it's sign }

{ Subtract 27 from 90}

{ Divide both sides by 9 }

The value of X is 7°

Now, Replacing the value of x in order to find the value of  B

{ Plug the value of x }

{ Multiply 7 by 7 }

{ Subtract 3 from 49 }

The measure of  B is 46°

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Answer:

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Step-by-step explanation:

<u>Statement     </u><u>                                                         </u><u>   Reason</u>

1.∠1 and ∠2 are supplementary angles     ---           Given  

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3. m∠1  and m∠3 are supplementary angles --  m∠1 + m∠3= 180

                                                                              (Supplementary angles add upto 180 degrees)  

4.  m∠1 and m∠3           ------                                 Exterior sides in opposite rays

5.   m∠1 + m∠2 = m∠1 + m∠3  ------                       Transitive property  

6.    m∠2 = m∠3                     --------------                Subtraction  property

7.   l || m  ------------- If two lines are cut by transversal the alternative interior

                               angles are the same, then the lines are paralle.

Thank you.

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