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The measure of the angle A(m∠A) for the given circle is 35°.

What is a circle?

A circle is a two dimensional geometrical figure. It has a center and the distance from the center to it's circumference is always equal.

What is an arc of a circle?

A part of the circumference of a circle is called arc.

Here, the measure of the arc mDE is is 118 and the measure of the other arc mBC is 48.

We know, m∠A = (1/2) × (mDE - mBC)

Therefore, m∠A = (1/2) × (118 - 48) = 70/2 = 35.

Hence, the measure of the ∠A is 35°.

Learn more about a circle and an arc here: https://brainly.com/question/16930503

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