The measure of the angle will be equal to 58°.
What is the supplementary angle?
The supplementary angles are defined as the angles whose sum is equal to 180°
here the angle is 122° degrees more than its supplementary angle.
We know that the sum of the two supplementary angles is given as:-
Suppose the known and the unknown angles are A and B respectively.
∠A + ∠B = 180°
122 + ∠B = 180°
∠B = 180-122= 58°
Hence the measure of the angle will be equal to 58°.
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