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List the angles of triangle WXY in order from smallest to largest.

List the angles of triangle WXY in order from smallest to largest.-example-1
User Froglegs
by
4.9k points

2 Answers

6 votes
The correct answer is : W, Y, X
I also attached the work on how I solved for x!
List the angles of triangle WXY in order from smallest to largest.-example-1
User Ivo P
by
5.2k points
6 votes

Answer: W, Y, X (choice D)

=======================================================

Step-by-step explanation:

The square angle marker means angle X is 90 degrees.

For any triangle, the three angles always add to 180

X+Y+W = 180

90+(2x+9)+(2x+1) = 180

4x+100 = 180

4x = 180-100

4x = 80

x = 80/4

x = 20

Use this x value to find the other angles

angle Y = 2x+9 = 2*20+9 = 49

angle W = 2x+1 = 2*20+1 = 41

As a check,

X+Y+W = 90+49+41 = 180

which confirms we have the right angles.

The last step is to sort the angles from smallest to largest

That would lead to W, Y, X which is choice D

User Anshul Bansal
by
5.2k points
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