In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.
2 answers:
Answer:
∠VTY = 84°
Step-by-step explanation:
because ΔTSV is isosceles (ST = SV) then ∠VTS = ∠SVT = 48°
Then ∠VST = 84° (180 - 48 - 48 = 84)
Well, I'm going back to the picture is worth a thousand words again.
Sketch attached:
A line from S to the center bisects ∠VST into two 42° angles.
A line from T to the center forms a 42° angle with line ST.
48°-42° = 6° = angle from perpendicular line CTR to line VT.
90° - 6° = 84° for ∠VTY
Answer:
Step-by-step explanation:
∠VTY is the tangent chord angle
- Tangent chord angle is the half of the intercepted arc
∠TSV is the inscribed angle.
- Inscribed angle is the half of the intercepted arc
<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>
ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.
<u>The measure of angle S</u>
<u>The required angle</u>
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