SOLUTION: Given: ST = 1/2 (SR) in ⊙Q SR is a diameter Find the following in degrees mST° mTR mSTR° m∠S°

Question 1194105: Given: ST = 1/2 (SR) in ⊙Q
SR is a diameter
Find the following in degrees
mST°
mTR
mSTR°
m∠S°
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Your notation is not standard; and in some cases I can't imagine what it means.

In some cases the meaning of "angle S" might be well defined. And in every case three letters like "STR" will be enough to define a particular angle. But I have no idea what "ST" or "TR" might mean when naming an angle.

And even if I knew what angles those were naming, I couldn't solve the problem, because there is nothing in the statement of the problem that tells us where point T is. We only know that its distance from S is half the diameter of the circle.

If you want help with the problem, re-post it in a way that we know what the problem is....

Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

This problem is about a triangle STR inscribed into a circle.

This triangle has side SR as a diameter of the circle - - - hence, the triangle is a right-angled triangle
with the right angle T opposite to side SR.

Also, the triangle has leg ST one half of the hypotenuse SR - - - hence, it is 30-60-90 degrees triangle.

It gives answers to all your questions.

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