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malfutka [58]
3 years ago
7

Which triangle is similar to triangle abc?

Mathematics
2 answers:
I am Lyosha [343]3 years ago
8 0

the one that has 65 and 54, 3rd one

storchak [24]3 years ago
4 0

Answer:

Triangle three(bottom left corner)

Step-by-step explanation:

We know one angle must be 61, as it is given. The other angle can be found by subtracting 126 from 180.

So 180-126 = 54

So the two angles we are looking for are 61 and 54.

However none of the triangles have that those numbers, so we must find the third side. Using that the sum of the angles must be 180,

180-61-54 = 65

So the third angles must be 65

So now we look for the triangle that has 2 of the following: 65, 54, 61

Triangle 3 fits this.

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The measure of angle 1 is 3x + 10 and the measure of angle 4 is (4x-15). What is the measure of angle 7
Alex_Xolod [135]
<u><em>Answer:</em></u>
∠7 = 95°

<u><em>Explanation:</em></u>
<u>1- getting the value of x:</u>
In the given figure, angle 1 and angle 4 are vertically opposite angles.
Therefore, they are equal in measurement
This means that:
3x + 10 = 4x - 15
4x - 3x = 10 + 15
x = 25

<u>2- getting the value of angle 4:</u>
We know that:
x = 25 and ∠4 is 4x-15
This means that:
∠4 = 4(25) - 15
∠4 = 85°

<u>3- getting the value of ∠6:</u>
From the given figure, we can see that ∠4 and ∠6 are supplement angles, this means that their summation is 180°.
We have calculated that ∠4 is 85°, therefore:
180 = ∠4 + ∠6
∠6 = 180 - ∠4
∠6 = 180 - 85
∠6 = 95°

<u>4- getting the value of angle 7:</u>
From the drawing, we can note that ∠6 and ∠7 are vertically opposite angles. This means that they are equal in measurements.
Therefore:
∠7 = ∠6 = 95°

Hope this helps :)
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A,C,B
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3 years ago
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