What is the relationship between \blueD{\angle a}∠astart color #11accd, angle, a, end color #11accd and \greenD{\angle b}∠bstart color #1fab

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

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Serenity 2 weeks 2021-09-12T16:29:14+00:00 2 Answers 0

Answers ( )

    0
    2021-09-12T16:30:53+00:00

    Answer:

    l need help with that to

    Step-by-step explanation:

    plz help us

    0
    2021-09-12T16:31:03+00:00

    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.

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