Using the congruence of triangles, the value of x comes to be 15°
What is a circle?
A circle is a locus of a point that moves in a plane such that its distance from a fixed point remains constant.
Connect A to D
So, ∠BAC=53°
From the congruence of triangles
∠BAD=∠CAD =53/2 = 26.5°
Also, ∠BAD=∠ABD (since AD=BD=radius)
So, ∠BDA + ∠BAD + ∠ABD=180°
10x-23 + 26.5+26.5 = 180
10x+30=180
10x=150
x=15°
Hence, Using the congruence of triangles, the value of x comes to be 15°
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