The value of the angle x will be equal to x = 61°
The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the out trace.
Given that:-
The value of the angle will be calculated as:-
We know that A tangent to a circle forms a right angle with the circle's radius, at the point of contact of the tangent, therefore ∠OQP=90°.
Now, using the angle sum property in ΔOPQ, we have
∠OPQ + ∠PQO + ∠QOP = 180°
Substituting the given values, we get
29 + 90 + x = 180
119 + x = 180
x = 61°
Therefore, the value of x is 61 degrees.
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