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Problem

What is the relationship between
∠a\blueD{\angle a}
∠a
start color #11accd, angle, a, end color #11accd
and
∠b\greenD{\angle b}
∠b
start color #1fab54, angle, b, end color #1fab54
?


Respuesta :

Answer:

Complementary angles.

Step-by-step explanation:

The graph is attached.

Notice that [tex]\angle a=\angle AXY[/tex], [tex]\angle b = \angle YXB[/tex] and [tex]\angle BXC = 90\°[/tex], by given.

[tex]\angle AXB = \angle AXY + \angle YXB[/tex], by sum of angles.

[tex]\angle AXB + \angle BXC = 180\°[/tex], by supplementary angles definition.

[tex]\angle AXB + 90\° = 180\°\\\angle AXB = 180\° - 90\°\\\angle AXB = 90\°[/tex]

Which means,

[tex]\angle AXB = \angle AXY + \angle YXB = 90\°[/tex]

Therefore, [tex]\angle a + \angle b = 90\°[/tex], in other words, angles a and b are complementary by defintion.

So, the right answer is the second choice.

Ver imagen jajumonac

Answer:

supplementary angles

Step-by-step explanation:

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