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maw [93]
3 years ago
12

TV−→− bisects ∠RTS. What is the relationship between ∠RTV and ∠STV?

Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0

Answer:

RTV = STV

Step-by-step explanation:

Required

Determine the relationship between RTV and STV

From the question, we understand that TV is a bisector of RTS at T;

This implies that, T divides RTS into two equal parts which are;

RTV and STV

Hence;

The relationship between RTV and STV is that, the are equal.

Mathematically;

RTV = STV

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Vanyuwa [196]

Answer:

x = 82°

y = 59°

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Step-by-step explanation:

∠x = 1/2(134° + 30°) = 82°

∠z = 180° - 59° - 82° = 39°

arc DF = 2(39°) = 78°

arc DB + arc DF = 134° + 78° = 212°

draw a diameter down from point B to the opposite side of the circle, call that point P:

arc BDP = 180°

(arc BDF) 212° - 180° = 32° (arc PF)

∠PBG = 1/2(32°) = 16°

∠DEB = 1/2(134°) = 67°

∠DBE = 180° - 59° - 67° = 54°

(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°

y = 90°- 31° = 59°

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