Question

In kite ADCB with (m∠ BAD = 46°) and (m∠ ABC = 114°), find (m∠ BCA).

A) 114
B) 9
C) 46
D) 9

Answer 1

To find the measure of angle BCA in kite ADCB, subtract angle BAD from 180 degrees, then subtract that result from 180 degrees.

Step-by-step explanation:

To find the measure of angle BCA in kite ADCB, we can use the fact that the angles in a kite add up to 360 degrees. Since angles B and D are congruent, we can find BCD by subtracting angle BAD from 180 degrees. So, 180 - 46 = 134 degrees. Since angles ABC and BCD are supplementary, we can find angle BCA by subtracting 134 degrees from 180 degrees. Therefore, the measure of angle BCA is 46 degrees. Answer choice C is correct.