Atriangle has 180 degrees. two angles of a triangle are the same size. the third angle is 12 degrees smaller than the first two angles. what is the degree of the angles?

The two same-size angles are 64°; the third angle is 52°.

Step-by-step explanation:

Let x represent each of the same-size angles. Then the smaller angle is (x-12). The sum of angles is 180°, so we have ...

... x + x + (x-12) = 180

... 3x -12 = 180 . . . . . simplify

... x - 4 = 60 . . . . divide by 3

... x = 64 . . . . . . . add 4

... (x-12) = 64-12 = 52 . . . . . find the third angle

The same-size angles are 64°; the third angle is 52°.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.