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2 April, 06:42

A quadrilateral has two angles that measure 238° and 100°. The other two angles are in a ratio of 5:6. What are the measures of those two angles?

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  1. 2 April, 08:24
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    10 degrees and 12 degrees

    Step-by-step explanation:

    The first step is to establish the measure of the sum of the other two degrees and since the sum of all angles in a quadrilateral is 360 degrees we find:

    360-238-100=22 and since the ratio of the two angles is 5:6 we can split 22 into 5 and 6 pieces of equal measure (their measure will be represented as x) to find: 5x+6x=22; 11x=22; x=2

    And to find the measures: Measure of angle one (the smaller angle) is 5*2=10

    Measure of angle two (the larger angle) : 6*2=12

    And to check the answer check that:

    10/12=5/6 (checking the ratio); 10+12+238+100=360 (checking if it is a quadrilateral)
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