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anonymous
 one year ago
The measures of three angles of a quadrilateral are 80, 90, and 103 degrees.
Find the measure of the fourth angle.
A.) 67°
B.) 77°
C.) 87°
D.) 97°
anonymous
 one year ago
The measures of three angles of a quadrilateral are 80, 90, and 103 degrees. Find the measure of the fourth angle. A.) 67° B.) 77° C.) 87° D.) 97°

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The formula for the sum of the angles of a polygon is: \(S = (n  2)180\) where S = sum of the measures of the angles, and n = number of sides. In this problem, you know you have 4 sides since you have a quadrilateral. Use the formula with n = 4 and find the sum of the measures of the angles. What do you get?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(S = (n  2)180\) \(S = (4  2)180\) What do you get for S?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1In the formula above. S is the sum of the measures of the angles. Just see it below: \(S = (n  2)180\) \(S = (4  2)180 \) What is S equal to?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1First, do 4  2. What is 4  2?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0sum of the 4 angles in a quadrilateral = 360 and you have 3

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Good. Now what is 2 * 180 = ?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Great \(S = (4  2) 180\) \(S = 2(180) \) \(S = 360\) The sum of the measures of the angles of a quadrilateral is 360.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We are given the measures of 3 angles. We know the sum of all 4 angles, so we subtract the measure of each angle from 360 to find the missing measure.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1What is: 360  80  90  103 = ? Or you can first add 80 + 90 + 103, and then subtract this sum from 360.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you so much, again!

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. Good job!
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