document.write( "Question 647697: two angles are complementary. one angle is ten less than three times the other angle. find the measure of both angles. \n" ); document.write( "

Algebra.Com's Answer #406339 by shweta(56) $\"\"$ $\"About$

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Given :Two angles are complementary, means their sum is 90 degree.Let the two angles be a and b.
\n" ); document.write( " a + b = 90 degree ......(1)
\n" ); document.write( " It is given in the question that one angle is ten less than three times the other angle, say
\n" ); document.write( " b = 10 less than 3* a( 3 times 'a' means 3 multiplied by a)
\n" ); document.write( " b= 3*a - 10 ......(2)
\n" ); document.write( " Now substitute the value of 'b'in (1)
\n" ); document.write( " a + b = 90
\n" ); document.write( " a + 3*a- 10 = 90 ( coefficient of a is 1 ,so 1*a +3a= 4*a)
\n" ); document.write( " 4*a = 90 + 10
\n" ); document.write( " 4*a =100
\n" ); document.write( " a = 100/4
\n" ); document.write( " a = 25
\n" ); document.write( " One angle 'a' is 40 degrees
\n" ); document.write( " N ow to find the value of other angle 'b', put in the value of 'a' in the equation (2)
\n" ); document.write( " b= 3*a - 10
\n" ); document.write( " b= 3*25 - 10
\n" ); document.write( " b= 75- 10
\n" ); document.write( " b= 65 degrees
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