Question

DERMarissa VasquezDATEArcs and ChordsLGEBRA Find the value of x in each circle.1.2.KN384x+10=384x=284x + 10X=7M70°LР4. OR = OS(5x - 1)°3..109°A

Answer 1

Given the question in the image, the following steps can be used to get x

Step 1: Explain the concept of equal arcs in a circle

If a circle is divided into arcs, then each arc is a minor arc and they all sum up to be equal to the total angles in the circumfference of the circle which is 360 degrees.

Step 2: Explain the breakdown of the minor arcs in the circle

It can be seen that the minor arcs divided the circle into three parts which are two equal arcs and a 70 degrees arc. This implies that:

`x+x+70=360^(\circ)_{}`

Step 3: Find x

`\begin{gathered} x+x+70=360 \\ 2x=360-70 \\ 2x=290 \\ x=(290)/(2) \\ x=145^(\circ) \end{gathered}`

Hence, the value of x in the given circle is 145 degrees