Question

In the figure alongside, m(arc AED) = 95°, m (arc BFC) = 85° Find m(arc AB) if chord AB ≅ chord DC.​

Answer 1

The measure of arc AB is 180 degrees.

If chord AB is congruent to chord DC, it means that their corresponding arcs are also congruent.

Given that the measure of arc AED is 95 degrees, and the measure of arc BFC is 85 degrees, we can use this information to find the measure of arc AB.

The measure of arc AB is equal to the sum of the measures of its congruent arcs, AED and BFC.

m(arc AB) = m(arc AED) + m(arc BFC)

m(arc AB) = 95° + 85° = 180°

So the measure of arc AB is 180 degrees.

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Answer 2

Answer:

m (arc AB) = m (arc AED) + m (arc BFC) = 95° + 85° = 180°

Step-by-step explanation:

From the above question,

They have given :

In the figure alongside, m(arc AED) = 95°, m (arc BFC) = 85° Find m(arc AB) if chord AB ≅ chord DC.​

The measure of an angle formed by two intersecting chords is equal to the sum of the measures of the arcs intercepted by the angle.

Given : m (arc AED) = 95° and m (arc BFC) = 85°

From the figure, we observe that chord AB ≅ chord DC

So, the two arcs AB and DC are equal

Therefore, m (arc AB) = m (arc DC) = 95° + 85° = 180°

Hence, m (arc AB) = m (arc AED) + m (arc BFC) = 95° + 85° = 180°

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