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Help with circle theorem!

Help with circle theorem!-example-1

2 Answers

3 votes

Answer:

Hi,

20°

Explanation:

Triangles TRO and TSO are isosceles.

See attachment.

Help with circle theorem!-example-1
User Kalmiya
by
7.7k points
5 votes

Answer:

x = 20°

Explanation:

You want the value of x in the given figure.

Inscribed angle

The measure of inscribed angle RTS is half the measure of the central angle ROS, so is 5x/2 = 2.5x.

Angle measures

Triangle SOT is isosceles, so angle STO has measure equal to x.

The sum of angles RTO and OTS is 2.5x, so we have ...

30° +x = 2.5x

30° = 1.5x . . . . subtract x

x = 20° . . . . . . divide by 1.5

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Help with circle theorem!-example-1
User Estin Chin
by
7.9k points

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