If angle A has a measurement of 42° and is complementary to angle B, what's the measure of angle B?

Mathematics

2 answers:

Alik [6]4 years ago

8 0

Answer:

A:48

Step-by-step explanation:

KatRina [158]4 years ago

5 0

The answer to the question is A. 48 degrees. In a complimentary angle, both of the angles have to add up to 90 degrees. For this case, with 42 degrees, the complimentary would be 48 degrees as they both add up to 90 degrees in the problem presented above.

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Elan Coil [88]

Answer:

Step-by-step explanation:

Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

Finding angles of the triangle:

<WYX = <XYZ - <WYZ = 180 - 4x

<XWY = <XWV - <VWY = 180 - 6x

Using the sum of angles in a triangle and substituting these values in:

180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x

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We are done! I hope this helps! :)

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