math

Two angles of a quadrilateral measure 130° and 20°. The other two angles are in a ratio of 5:16. What are the measures of those two angles?

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  1. let the smaller of the unknown angles be 5x and the larger of the two be 16x

    so 130+20+5x+16x = 360
    21x = 210
    x = 10

    so the two missing angles are 50° and 160°

    check: 50+160+130+20 = 360
    50:160 = 5 : 16

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  2. did you get this from IXL?

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  3. i got this from IXL and this is giving me problems

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  4. hi, are you per chance from portage

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  5. Since the angles are in a ratio of 5:6, they have measures of 5n and 6n. Set the sum of the angle measures equal to 360° and solve.

    70° + 180° + 5n + 6n = 360°
    250° + 11n = 360° Combine like terms
    11n = 360° − 250° Subtract 250° from both sides
    11n = 110° Simplify
    n = 10° Divide both sides by 11
    Now plug in n = 10° to find the measures of the angles.
    5n and 6n
    5 × 10° and 6 × 10°

    50° and 60°
    So, the measures of the two angles are 50° and 60°.

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