find angle whose complement is 10 degree less than half of its supplement​

Question

find angle whose complement is 10 degree less than half of its supplement​

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Raelynn 1 week 2021-11-25T07:29:00+00:00 1 Answer 0 views 0

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    2021-11-25T07:30:14+00:00

    Answer:

    know that supplementary angles are 180 degree.

    Based on the statement you have provided we can setup an equation such as:

    +90+=+%281%2F2%29%28180-x%29+%2B+x+-+10+

    We can now solve for x.

    +90+-+x+=+%281%2F2%29%28180-x%29+%2B+x+-+10+-+x+ Subtraction Property of Equality

    +90+-+x+%2B+10+=+%281%2F2%29%28180-x%29+-+10+%2B+10+ Addition Property of Equality

    +90+-+x+%2B+10+=+90-%281%2F2%29x+ Distribution Property

    +100+-+x+=+90-%281%2F2%29x+ Combine Like Terms

    +100+-+90+-+x+=+90+-+90+-+%281%2F2%29x+ Subtraction Property of Equality

    +10+-+x+%2B+x+=+-%281%2F2%29x+%2B+x+ Addition Property of Equality

    +% 282% 2F1% 2910 + = + 1% 2F2x% 282% 2F1% 29 + Multiplication Inverse or Reciprocal

    +20+=+x+

    The angle is x.

    Since we know that complement angles add up to 90 degree. We can assume that:

    + 20 +% 2B + and + = + 90+

    +20 + – + 20 +% 2B + y + = + 90 + – + 20+

    + and + = + 70+

    Since we know that supplement angles add up to 180 degree. We can assume that:

    + 20% + 2B + z + + = 180+

    +20 + – + 20 +% 2B + y + = + 180 + – + 20+

    + Z + + = 160+

    Can we check that it is correct?

    Of course, since we know that z is the supplementary angles and it is 160, we can plug in for the first equation.

    +90+=+%281%2F2%29%28160%29+%2B+x+-+10+ Substitution

    +90+=+80+%2B+x+-+10+ Simplify

    +90+=+70+%2B+x+ Combine Like Terms

    +90+-+70+=+70+-+70+%2B+x+ Subtraction Property of Equality

    +20+=+x+

    We get the same answer and now

    Step-by-step explanation:

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