Answered

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Find arc AB.

A. 54°
B. 108°
C. 72°
D. 126°

Find Arc AB A 54 B 108 C 72 D 126 class=

Sagot :

A triangle is a three-edged polygon with three vertices. The measure of arc AB is 72°. Thus, the correct option is C.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Since in the ΔAOB, the length of the side OA and OB are,

OA = OB = radius

Therefore, the triangle is an isosceles triangle. Thus, we can write,

∠OAB = ∠OBA = 54°

Now, the sum of all the angles of ΔAOB is,

∠AOB + ∠OAB + ∠OBA = 180°

∠AOB + 54° + 54° = 180°

∠AOB = 72°

Hence, the measure of arc AB is 72°. Thus, the correct option is C.

Learn more about Triangle:

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