The second angle of a triangular kite is four times as large as the first. the third angle is 55 degrees ° more than the sum of the other two angles. find the measure of the second angle

50 degrees

Step-by-step explanation:

As the kite is triangular, the sum of all angles will be 180 degrees.

Let x be the first angle.

Then according to the statement second angle is four times as large as the first, second angle will be:

4x

And according to the statement, the third angle is 55 degrees ° more than the sum of the other two angles, third angle will be:

x+4x+55

So,

x+4x+x+4x+55=180

10x+55=180

10x= 180-55

10x=125

x=125/10

x=12.5 degrees

So first angle is 12.5 degrees.

Second angle = 4(12.5)

=50 degrees

Third angle = x+4x+55

= 12.5+50+55

= 117.5 degrees

To check if the sum of angles is 180 degrees

= 12.5+117.5+50 = 180

Hence, second angle is 50 degrees ..

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !