Answer:
x = 16
y = 9
Step-by-step explanation:
Find x first. The unmarked angle underneath the x + 19 is 9x + 1 (corresponding angles so congruent so same measure as the angle below)
So the two angles add up to 180°
x+19 + 9x + 1 = 180°
combine like terms
10x + 20 = 180
subtract 20
10x = 160
divide by 10
x = 16
Now you can find the measure of the angle marked 9x+1.
9(16) + 1
= 144 + 1
= 145
Now find y. The angle marked 9x+1 is now known to be a 145° angle. So that angle with the angle marked 3y+8 must make 180°
3y + 8 + 145 = 180
combine like terms
3y + 153 = 180
subtract 153
3y = 27
divide by 3
y = 9
Answer:
x = 16 , y = 9
Step-by-step explanation:
(x + 19) and (9x + 1) are same- side exterior angles and sum to 180° , that is
x + 19 + 9x + 1 = 180
10x + 20 = 180 ( subtract 20 from both sides )
10x = 160 ( divide both sides by 10 )
x = 16
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9x + 1 = 9(16) + 1 = 144 + 1 = 145
9x + 1 and 3y + 8 are a linear pair and sum to 180° , then
3y + 8 + 145 = 180
3y + 153 = 180 ( subtract 153 from both sides )
3y = 27 ( divide both sides by 3 )
y = 9
