Question

What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart color #1fab54, angle, b, end color #1fab54? Choose 1 answer: Choose 1 answer: (Choice A) A Vertical angles (Choice B) B Complementary angles (Choice C) C Supplementary angles (Choice D) D None of the above

Answer 1

Answer:

Complementary angles.

Step-by-step explanation:

Notice that $\angle a=\angle AXY, \angle b = \angle YXB$  and $\angle BXC = 90\°$, by given.

$\angle AXB = \angle AXY + \angle YXB$, by sum of angles.

$\angle AXB + \angle BXC = 180\°$, by supplementary angles definition.

$\angle AXB + 90\° = 180\°\\\angle AXB = 180\° - 90\°\\\angle AXB = 90\°$

Which means,

$\angle AXB = \angle AXY + \angle YXB = 90\°$

Therefore,$\angle a + \angle b = 90\°$, in other words, angles a and b are complementary by definition.

Answer 2

Answer:

None of the Above

Step-by-step explanation:

It's right on Khan Academy