3 years ago

The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.

Mathematics

1 answer:

snow_tiger [21]3 years ago

6 0

Answer:

x = 26

Step-by-step explanation:

m<RTS = 4x - 14 (given)

Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)

Therefore,

4x - 14 = 90

4x - 14 + 14 = 90 + 14 (addition property of equality)

4x = 104

4x/4 = 104/4

x = 26

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