Quiz Me Quiz Me 244 Solve problems involving relationships a

Quiz Me: Quiz Me: 2.4-4 Solve problems involving relationships amo Submit Quiz This Quiz: 3 pts possible 2 of 3 his Question: 1 pt Two angles are supplementary if their sum is 1 The larger an measures three degrees more than twice the measure of a smaller angle, rx represents the measure ot smaller angle and these two angles are supplementary, find the measure of each angle. The smaller angle measures The larger angle measures

Solution

1.

given that

x is smaller angle and y is larger angle

x + y = 180

y = 180 - x

Also

y = 2x + 3

Solving above equations:

180 - x = 2x + 3

2x + x = 180 - 3

3x = 177

x = 59 deg

y = 180 - 59 = 121 deg

2.

Rate = $25 + $0.30 per mile = 25 + 0.3*x

Total amount = $130

So, 25 + 0.30*x = 130

0.30*x = 130 - 25 = 105

x = 105/0.3 = 350 miles