1 Answer

Gaurav Rawat · Answer 1 · 2023-04-07T22:16:51+0000

The two arcs given are of 20 degrees and 100 degrees respectively.

It is known that arcs corresponding to common chords are equal.

Therefore the other arch which corresponds to congruent chord is also 100 degrees.

It is also known that the sum of all arcs that constitute a circle is 360 degrees so it follows:

$\begin{gathered} x+100+100+20=360 \\ x+220=360 \\ x=360-220 \\ x=140^(\circ) \end{gathered}$

Hence the value of x is 140 degrees.

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