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Here are 2 triangles. One triangle has a 60 degree angle and a 40 degree angle. The other triangle has a 40 degree angle and an 80 degree

angle.

How long are the sides labeled x and y?

x= (blank) units and y= (blank) units.

Here are 2 triangles. One triangle has a 60 degree angle and a 40 degree angle. The-example-1
User Ronnel
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6.4k points

2 Answers

4 votes

Final answer:

In both triangles, the sum of the angles is 180 degrees. We can use trigonometric ratios to find the lengths of the sides labeled x and y.

Step-by-step explanation:

In both triangles, the sum of the angles is 180 degrees. Therefore, in the first triangle with a 60 degree angle and a 40 degree angle, the remaining angle can be found by subtracting the sum of the given angles from 180 degrees: 180 - 60 - 40 = 80 degrees.

Next, we can use the trigonometric ratios to find the lengths of the sides labeled x and y. In the first triangle, we can use the sine ratio to find the length of side x:

sin(40°) = x / y

Cross-multiplying, we get:

x = y * sin(40°)

Similarly, in the second triangle, we can use the sine ratio to find the length of side y:

sin(80°) = y / x

Cross-multiplying, we get:

y = x * sin(80°)

User Aabela
by
6.6k points
4 votes

Answer:

x=4.04 y=7.66

Step-by-step explanation:

User David Richards
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6.9k points