Angles forming linear pair

Geometry Level 2

What are the measures of a triangle whose angles are 2x, 3x, and 4x? Provide your answer in descending order.

80,60,40 50,30,100 20,60,120 40,60,80

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

The sum of interior angles of a triangle is 180 180 . So we add the three angles,

2 x + 3 x + 4 x = 180 2x+3x+4x=180

9 x = 180 9x=180

x = 20 x=20

Now compute for the three angles. They are 2 x = 2 ( 20 ) = 4 0 , 3 x = 3 ( 20 ) = 6 0 2x=2(20)=40^\circ, 3x=3(20)=60^\circ and 4 x = 4 ( 20 ) = 8 0 4x=4(20)=80^\circ . Then arrange in descending order (from highest to lowest). So our answer must be 80 , 60 , 40 80,60,40 .

Noel Lo
Aug 26, 2015

Haha lol one of the options has the correct values but in the wrong order good way to trick people!

Omkar Ukirde
Aug 3, 2015

2x + 3x + 4x=180

9x=180

x=180/9

x=20

2x=2*20=40

3x=3*20=60

4x=4*20=80

answer is in descending order therfore answer is 80,60,40

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...