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If ABCD is a rectangle, and m_ADB = 55°, what is the value of X?Dс55°7A09

If ABCD is a rectangle, and m_ADB = 55°, what is the value of X?Dс55°7A09-example-1
User Mbostock
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1 Answer

1 vote

Answer:

Explanation:

FIrst we find the angle that is complementary to 55 degrees.

55 + k = 90

k = 90 - 55 = 35

Now we find the blue angle

The blue angle forms the interior angle of the triangle; therefore,

35 + 35 + blue = 180 (the angles in a triangle add up to 180 )

70 + blue = 180

blue = 180 - 70

blue = 110

Finally, we are in a position to find the yellow angle x.

The yellow angle x is supplementar to the blue angle; therefore,

110 + x = 180

subtracting 110 from both sides gives

x = 180 - 110

x = 70

which is our answer!

If ABCD is a rectangle, and m_ADB = 55°, what is the value of X?Dс55°7A09-example-1
User Theanilpaudel
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7.3k points