What is the value of Z?

Mathematics

1 answer:

sukhopar [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Both x and y are inscribed angles. The value of an inscribed angle is half the measure of its intercepted arc. This means that x has a value of 33°, and y has a value of 48°. That means that, according to the triangle angle sum theorem, the third angle has to equal 180 - 33 - 48 = 99°.

This angle is vertical with angle z, so angle z also equals 99°

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Are these triangles similar, if so how do I prove it(SSS,AA or SAS)?

spin [16.1K]

Answer:

There isn't a way to prove that the triangles are similar.

Explanation:

Two triangles are similar if they have the same interior angles and the corresponding sides are proportional.

So, to prove that the triangles are similar we can use:

SSS: The three corresponding sides are proportional

SAS: Two sides are proportional and the angle between them is equal

AA: Two angles have the same measure.

In this case, the yellow angles are equal because they are vertically opposite. They are formed by two lines that intersect.

On the other hand, the side with length 3.6 is corresponding with the side with length 9 but the side with length 4.8 is not corresponding with the side with length 12.

Then, there isn't a way to prove that the triangles are similar.

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Answer:

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