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°

74°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Triangle EBC is an isosceles triangle (because has two equal sides EB=EC)

so

Find the measure of angle BEC

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

substitute the given values

Find the measure of angle AED

we know that

----> by vertical angles

so

Find the measure of arc AD

we know that

-----> by central angle

therefore

40 x 50 = 2000

step-by-step explanation: