document.write( "Question 251906: If the measures of the angles of a triangle are in the ratio 1:3:5, the number of degrees in the measure of the smallest angle is...\r
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document.write( "a. 10
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document.write( "b. 20
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document.write( "c. 60
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document.write( "d. 180\r
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document.write( "pllz help me!! \n" );
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Algebra.Com's Answer #183610 by solver91311(24713)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I have no idea why I should help someone who is too lazy to spell out the word 'please,' but here goes anyway.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the ratio of the three angles is 1:3:5, then the smallest angle is 1 part, the next larger angle is 3 parts, and the largest angle is 5 parts for a total of 1 plus 3 plus 5 equals 9 parts. The sum of the angles of a triangle is always 180 degrees. Dividing 180 by 9 means that 1 part is 20 degrees. Since the smallest angle is 1 part, the smallest angle must be 20 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To check the answer, consider that the middle-sized angle is 3 parts, or 3 times 20 = 60 degrees, and the largest angle is 5 parts or 5 times 20 = 100 degrees, and then 20 + 60 + 100 = 180 -- so the answer checks.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |