<PRE><B>Question 969745</B>
Two angles of a quadrilateral measure 167° and 108°. The other two angles are in a ratio of 7:10. What are the measures of those two angles?
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Sum of all the angle is 2*180 = 360
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sum of the unknown angle is 360-(167+108) = 360-275 = 85 degrees
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Equation:
7:10 is the same as 7x:10x
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7x+10x = 85
17x = 85
x = 5
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Ans:
smaller angle:: 7*5 = 35 degrees
larger angle:: 10*5 = 50 degrees
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Cheers,
Stan H.
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