Question

In a triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is 55 degrees more than the measure of the second angle. use the fact that the sum of the measures of three angles of a triangle is 180 degrees to find the measures of each angle.

Answer 1

let the second angle = x
first angle = 3x
third angle = x + 55

therefore

x + 3x + x + 55 = 180

solve for x

Answer 2

still there?

Answer 3

yes sorry slow computer

Answer 4

no problem, do you know how to solve for x?

Answer 5

no I don't

Answer 6

x + 3x + x = ?

Answer 7

5x

Answer 8

good

now, 5x + 55 = 180

subtract 55 from both sides. what do you get?

Answer 9

125

Answer 10

ok, now 5x = 125
what does x = ?

Answer 11

25

Answer 12

good!

so the second angle is 25

now we need to figure out the other two angles

we said before that the first angle is 3 times the second angle
so what is the first angle?

Answer 13

I don't know

Answer 14

think carefully.

second angle = 25
first angle = 3 * second angle = _____?

Answer 15

* means multiplication

Answer 16

25 *3=75

Answer 17

good!

second angle = 25
third angle = second angle + 55 = ???

Answer 18

80

Answer 19

very good!

so your angles are

75, 80, and 25

in that order. and that's it!

Answer 20

first angle 75 second angle 25 and third angle 80?

Answer 21

oh right, sorry, you're right ^^

Answer 22

second angle is 25