# measures of the angles

• Dec 4th 2010, 02:38 PM
rcs
measures of the angles
Can anybody help me on the this problem please

Use a single variable:
the sum of the measures of an acute angle and an obtuse angle is 140. the sum of twice the supplement of the obtuse angle and three times the complement of the acute angle is 340. What are the measures of the angles?

is this correct if i let
x be the acute angle,
(90 + x) be the obtuse angle

then x + ( 90 + x ) = 140
2x + 90 = 140
2x = 140 - 90
2x = 50
x = 25

the sum of twice the supplement of the obtuse angle and three times the complement of the acute angle is 340?

i'm stuck here i dont know how to connect in the solution above.
• Dec 4th 2010, 02:54 PM
Plato
Quote:

Originally Posted by rcs
Use a single variable:
the sum of the measures of an acute angle and an obtuse angle is 140. the sum of twice the supplement of the obtuse angle and three times the complement of the acute angle is 340. What are the measures of the angles?

$2(180-[140-x])+3(90-x)=340$
Try that.
• Dec 4th 2010, 03:36 PM
rcs
Sir is my representation of the first statement wrong for the measures of the angles? please tell me.
thank you
• Dec 4th 2010, 04:27 PM
Plato
Quote:

Originally Posted by rcs
Sir is my representation of the first statement wrong for the measures of the angles? please tell me.

Well it does not give the correct answer.
So, what do you think?
• Dec 4th 2010, 06:05 PM
rcs
ok sir, thanks a lot