Answer:
27 ) x = 15°,
28 ) x = 18°
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,
Solution; x = 15°
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,
Solution; x = 18°
