Question

What must be the value of x?

Answer 1

type the question out

Answer 2

Answer: 25.0

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=(200)/(8)\\\\\Rightarrow\ x==25`

Hence, the value of x is 25.0.