Answer:
see explanation
Step-by-step explanation:
(7)
(25x + 8) and (9x + 2) are adjacent angles and sum to 180° , then
25x + 8 + 9x + 2 = 180 , that is
34x + 10 = 180 ( subtract 10 from both sides )
34x = 170 ( divide both sides by 34 )
x = 5
Then
9x + 2 = 9(5) + 2 = 45 + 2 = 47
(7y + 5) and (9x + 2) are vertical angles and are congruent , so
7y + 5 = 47 ( subtract 5 from both sides )
7y = 42 ( divide both sides by 7 )
y = 6
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(8)
(11x - 24) and (7x + 30) are vertical angles and are congruent, so
11x - 24 = 7x + 30 ( subtract 7x from both sides )
4x - 24 = 30 ( add 24 to both sides )
4x = 54 ( divide both sides by 4 )
x = 13.5
Similarly
(17y - 4) and (5y + 38) are vertical angles and congruent , then
17y - 4 = 5y + 38 ( subtract 5y from both sides )
12y - 4 = 38 ( add 4 to both sides )
12y = 42 ( divide both sides by 12 )
y = 3.5
