3 years ago

What must be the value of x?

Mathematics

2 answers:

tangare [24]3 years ago

7 0

Type the question out

MA_775_DIABLO [31]3 years ago

5 0

Answer: 25.0

Step-by-step explanation:

In the given figure ST is a diameter of the Circle.

The central angle subtended by a diameter in a circle is 180°.

Then, According to the given figure , we have

$(2x+8)^{\circ}+(3x-14)^{\circ}+(3x-14)^{\circ}=180^{\circ}\\\\\Rightarrow\ 2x+8+3x-14+3x-14=180\\\\\Rightarrow\ 8x-20=180\\\\\Rightarrow\ 8x=180+20\\\\\Rightarrow\ 8x=200\\\\\Rightarrow\ x=\dfrac{200}{8}\\\\\Rightarrow\ x==25$

Hence, the value of x is 25.0.

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