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Circle T is given below. ZUTV and ZXTW are congruent.

What is the measure of chord WX?
cm

Circle T is given below. ZUTV and ZXTW are congruent. What is the measure of chord-example-1

1 Answer

4 votes

Answer:

Explanation:

First note that the triangles shown are isosceles triangles due to equality of two of their sides which is radius. So their baseline angles are equal

Since their middle angle are equal too, so their 3 angles are the same. It menas both triangles are similar.

However, we know two of three sides are equal, but the third should be also because of their similarity.

y+4 = 2y - 3

2y - y = 4 - 3

y = 4+3

y = 7

Therefore,

2y-3 = 2.7-3 = 14-3 = 11

Answer is 11 centimeters

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