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max2010maxim [7]
3 years ago
6

Help plz geometry !!!!​

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

<em>27 ) x = 15°,</em>

<em>28 ) x = 18°</em>

Step-by-step explanation:

27 ) We are given angle measures of 85 degrees, consecutively 6x + 5, each forming a linear pair;

85 + ( 6x + 5 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,

85 + ( 6x + 5 ) = 180 ⇒ take out ( ),

85 + 6x + 5 = 180 ⇒ combine like terms,

90 + 6x = 180 ⇒ subtract 90 from either side of equation,

6x = 90 ⇒ divide 6 on either side of equation,

<em>Solution; x = 15°</em>

28 ) We are given angle measures of 110 degrees, consecutively 3x + 16, each forming a linear pair;

110 + ( 3x + 16 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,

110 + ( 3x + 16 ) = 180 ⇒ take out ( ),

110 + 3x + 16 = 180 ⇒ combine like terms,

126 + 3x = 180 ⇒ subtract 126 from either side of equation,

3x = 54 ⇒ divide 6 on either side of equation,

<em>Solution; x = 18°</em>

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