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Margaret [11]
3 years ago
10

Find measure of angle 2

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
4 0

Answer: measure angle 2 is 72

Step-by-step explanation: All angles of a triangle add up to 180 so you add 42 and 30 to find measure angle 1 which would be 108 now a horizontal line is 180 is you subtract 108 from 180 and you get 72.

Anarel [89]3 years ago
3 0

Answer:

I am thinking 108 please correct me if I am wrong

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Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

so

In this problem

we know that

m< VUW=55\°

the measure of angle VXY is equal to

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m

therefore

m< VUW=m

Remember that

m<UVW=m<XVY -----> is the same vertex

therefore

Triangles VUW and VXY are similar by AAA Similarity Theorem ( the three angles are congruent)

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