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tatiyna
4 years ago
13

Find the measure of angle Y

Mathematics
1 answer:
Musya8 [376]4 years ago
8 0

Answer:

∠y=60°

Step-by-step explanation:

Question says to find the measure of the angle Y.

We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.

∠x = ∠y = ∠z...(i)

We know that sum of all three angles of the triangle is always 180°.

So we can write:

∠x+∠y+∠z=180°

∠y+∠y+∠y=180°  {using equation (i) }

3∠y=180°

divide both side by 3

∠y=60°

Hence final answer is the measure of angle y is 60 degree.

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Answer: EF=15cm

Step-by-step explanation:

You know that the triangle ABC and the triangle DEF are similar.

Therefore, if the lenght of AC is 12 centimeters and the lenght of DF is 10 centimeters, then you can find the ratio as following:

ratio=\frac{DF}{AC}\\\\ratio=\frac{10cm}{12cm}\\\\ratio=0.8333

Then, the calculte the length of EF, you must multiply the lenght BC of the triangle ABC by the ratio obtained above.

Therefore, the lenght EF is the following:

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