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kolbaska11 [484]
2 years ago
12

In circle Y, what is mZSZT? 100° 86° 94 108 128° 72°

Mathematics
1 answer:
MArishka [77]2 years ago
3 0

Answer:

Step-by-step explanation:

I'm going to assume that is your shape. 

If that is your shape, this is simple:

First, you need to solve for the angle TZU. The formula for it is:

mTZU= 0.5(arcTU+arcSR)

mTZu= 0.5(72°+100°) = 86°

Vertical angles, as you should know, are congruent. Always. mTZU is a vertical angle to mSZR. This means mSZR is also 86°

Now, the sum of all angles should be 360°. Now you need to know the remaining angles, you can do this by:

360° - 86° - 86° = 188°

Now, last step. Since mSZR is also equal to RZU because they are vertical angles, this means you need to divide 188° by 2. 

188°/2 = 94°

Your answer: m∠SZT = 94°

~Hope this helps!

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