Question

Guys I need help please. The smallest angle in a triangle is one third of the largest angle. The third angle is ten degrees more than the largest angle. Find the measure of all three angles

Answer 1

Let

x = smallest angle
y = medium sized angle
z = largest angle

Answer 2

"The smallest angle in a triangle is one third of the largest angle"

means that

x = (1/3)*z

3x = z

z = 3x

Answer 3

and this is a complete contradiction "The third angle is ten degrees more than the largest angle"

How can you have an angle larger than the largest angle?

Answer 4

No

Answer 5

if it was something like "the middle angle is ten degrees LESS than the largest angle", then it would make more sense

Answer 6

It is smallest sorry

Answer 7

if it's "The third angle is ten degrees more than the SMALLEST angle", then

y = x+10

Answer 8

the three angles in the triangle always add to 180 degrees


angle1+angle2+angle3 = 180

x+y+z = 180

x+(x+10)+(3x) = 180 ... plug in y = x+10 and z = 3x

x+x+10+3x = 180

x = ???

Answer 9

3?

Answer 10

x+x+10+3x = 180

5x+10 = 180

...
...
...

x = ???

Answer 11

18

Answer 12

5x+10 = 180

5x = 180-10

5x = 170

so x must be ?

Answer 13

5x means "5 times x"

Answer 14

850

Answer 15

5 * _______ = 170

what goes in the blank?

Answer 16

34

Answer 17

good, you find this by dividing both sides by 5

Answer 18

then take this x value and plug it into the equations below

y = x+10
z = 3x

Answer 19

Ok