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aev [14]
4 years ago
14

One angle in an obtuse isosceles triangle measures 40°. What are the measures of the other two angles?

Mathematics
1 answer:
iren2701 [21]4 years ago
7 0
"In an isosceles triangle two angles are the same and the third is different. However, the angles in the triangle must add up to 180. If the 100 degree angle was one of the 2 identical angles, then the angles in the triangle would add up to more than 200. Because of this the 100 degree angle must be the different angle."
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Choice given:
<span>33.6°
39.8°
50.2°
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I drew the figure. 
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I used the calculator to get the value of each angle using the sine function
sin(33.6°) = 0.55
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The angle where the wire meets the ground is approximately 56.4°
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4 years ago
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3 years ago
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lora16 [44]

Using proportions, the coordinates of point G are given as follows:

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<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The points A and B are given as follows:

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For this problem, we have that the ratio of AG to GB is 3:2, hence:

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The x-coordinate of G is found as follows:

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y - 4 = -2.4

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Hence the coordinates of point G are given as follows:

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