Respuesta :

smmwaite

Answer

38°

Explanation

This question can be solved using the properties of a circle.

The angle subtended at the center is double the angle subtended at the circumference by the same chord.

∴Angle C = 76/2

= 38°

abidemiokin

The measure of angle C is 38 degrees

Circle geometry

To get the measure of <C, we will use the theorem;

The angle subtended at the center is double the angle subtended at the circumference by the same chord.

Given the following

arc A = 76

<C = x

<C = 1/2(arcAB

<C = 1/2(76)
<C = 38 degrees

Hence the measure of angle C is 38 degrees

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