Two angles are supplementary. The measure of the larger angle is 36 more than the measure of the smaller angle. Find their measures. the answers are 72° and 108° but I need help showing my work​

x = smaller angle

x+36 = larger angle, since its 36 degrees more than the smaller angle

The two angles x and x+36 must add to 180 if they are to be supplementary (aka form a straight line)

So this means we can say the following:

(smaller)+(larger) = 180

(x) + (x+36) = 180

2x+36 = 180

2x = 180-36

2x = 144

x = 144/2

x = 72 is the smaller angle

x+36 = 72+36 = 108 is the larger angle

As a check:

smaller+larger = 72+108 = 180

which shows they are supplementary and it confirms our answers

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5