# Similar Polygons

• Nov 5th 2013, 10:16 PM
Cake
Similar Polygons
Hey Guys,

For number 19)

I ended up getting 49 for the measure of angle L

But it's wrong since the correct answer is 90.

What I did is just combine all of the given into an equation and give it an equals value of 360
Doesn't work since I got the answer wrong. (Angry)
• Nov 6th 2013, 12:46 AM
ibdutt
Re: Similar Polygons
Since the quadrilaterals are similar their corresponding angles must be equal.
Thus angle A = angle H that implies 2x + 4 = 68 OR x = 32 degree
Also angle L = angle D = 3x - 6, Plug in the value of x which we just calculated i.e., x = 32 we get
angle L = 3 * 32 - 6 = 96-6=90 degree
• Nov 6th 2013, 01:33 PM
Cake
Re: Similar Polygons
Quote:

Originally Posted by ibdutt
Since the quadrilaterals are similar their corresponding angles must be equal.
Thus angle A = angle H that implies 2x + 4 = 68 OR x = 32 degree
Also angle L = angle D = 3x - 6, Plug in the value of x which we just calculated i.e., x = 32 we get
angle L = 3 * 32 - 6 = 96-6=90 degree

Perfect, Got it!
Thanks!