## In circle E, and are diameters. Angle BCA measures 53°. Circle E is shown. Line segments A C and B D are diameters. Lines are drawn to co

Question

In circle E, and are diameters. Angle BCA measures 53°. Circle E is shown. Line segments A C and B D are diameters. Lines are drawn to connect points B and C and points A and D. Angle B C A is 53 degrees. What is the measure of arc AD? 53° 74° 106° 180°

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Math
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2021-10-08T12:27:44+00:00
2021-10-08T12:27:44+00:00 2 Answers
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## Answers ( )

Answer:74

Step-by-step explanation:Answer:Step-by-step explanation:Givens

Notice that line segment BE is congruent to line segment CE, because they are the radius of the circumference. That means the triangle that contains these sides is isosceles.

, by definition of triangles isosceles.

Then,

, by sum of internal angles.

And,

, by vertical angles definition.

But, we know that the measured of a subtended arc is equal to its angle.

Therefore,