An angle measures 22.8° more than the measure of its supplementary angle. What is the measure of each angle?
1 answer:
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Answer:
y = 11, x = 76/6
Step-by-step explanation:
We will start by finding y
92 + 8y = 180 we know this because the angle degree of one line is 180 you can just do simple elimination to solve this
92+ 8y = 180 subtract 92 from both sides
8y = 88 then divide both sides by 8 and you get
y = 11
Now for x we know the blank angle is equal to 88 because of vertical angles
so now it is 88 + ( 6x - 16) = 180 again we do elimination
88 + 6x - 16 = 180 subtract 88 from both sides and you get
6x - 16 = 92 then subtract 16
6x = 76 then divide both sides by 6 and get
hope this helps :)