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- anonymous

WILL GIVE MEDALS!!!!!
The measure of the second angle of a triangle is twice the measure of the first angle. The measure of the third angle is 10° less than the measure of the first angle. Find the measure of the second angle.

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- anonymous

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- anonymous

The answer choices:
A. 47.5°
B. 80°
C. 37.5°
D. 95°

- welshfella

let first angle = x
then second angle = 2x

- anonymous

Okay what next?

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- welshfella

and third angle = x - 10

- anonymous

Then?

- welshfella

well the 3 angles add up to 180
so we can write an equation
any ideas ?

- anonymous

Nope that's why I'm asking for help. If I knew how to set it up I could most likely do it.

- welshfella

x + 2x + x - 10 = 180
makes sense?

- welshfella

the 3 angles are on the left and 180 on the right
so now if you solve for x youll find the measure of the first angle
second angle = 2 8 x

- welshfella

* 2 * x

- anonymous

Okay how do I set up that part.

- welshfella

add up the first 3 terms x + 2x + x = ?

- anonymous

?

- welshfella

the angle x + twice the angle x + angle x = how many angle x's?

- anonymous

x + 2x + x = 3?

- welshfella

1 + 2 + 1 = how many

- anonymous

4, sorry I forgot to count both of the Xs for 2x.

- welshfella

right
1 + 2 + 1 = 5
in same way
x +2x + x = 4x

- welshfella

* lol thats 4 NOT 5!!

- welshfella

so we have
4x - 10 = 180
add 10 to both sides
4x - 10 + 10 = 180 + 10
4x = 190
x = 190/4

- welshfella

now divide 190 by 4 to get x
then multiply the result by 2 to get the values of 2x which is the values of the second angle

- anonymous

190 / 4 = 47.5
47.5 * 2 = 95

- welshfella

correct

- anonymous

That's the answer to the whole problem ain't it?

- anonymous

Thanks

- welshfella

yes yw

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