document.write( "Question 648185: In ΔABC, the measure of A is 17° more than four times the measure of B. The measure of C is 5° less than the measure of B. Find the measure of each angle of the triangle. \n" ); document.write( "
Algebra.Com's Answer #406594 by shweta(56)\"\" \"About 
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Given: In triangle ABC,
\n" ); document.write( "Bis measure of Angle B,A is the measure of Angle A and C of Angle C
\n" ); document.write( "Angle A= 17+4B ......(1)
\n" ); document.write( "Angle C= B-5 ......(2)
\n" ); document.write( "Sum of all the angles of the triangle ABCis 180 degree
\n" ); document.write( "Angle A+Angle B+ Angle C= 180 ....(3)
\n" ); document.write( "Substitute the value of A and C in equation 3
\n" ); document.write( "17+4B+B+B-5=180
\n" ); document.write( "6B+12=180
\n" ); document.write( "6B=180-12
\n" ); document.write( "6B=168
\n" ); document.write( "B=168/6
\n" ); document.write( "Angle B=28 degree
\n" ); document.write( "Substitute the value of B in equation 1
\n" ); document.write( "A=17+4B
\n" ); document.write( "A=17+4*28
\n" ); document.write( "A=17+112
\n" ); document.write( "Angle A=129 degree
\n" ); document.write( "Now substitute the value of B in equation 2 to find the value of Angle C
\n" ); document.write( "Angle C= B-5
\n" ); document.write( "Angle C= 28-5
\n" ); document.write( "Angle C= 23 degree
\n" ); document.write( " CHECK:
\n" ); document.write( "You can check your answer by putting in the value of all the angles in equation 3 and see if the sum is 180 degree
\n" ); document.write( "Angle A+Angle B+Angle C=180
\n" ); document.write( "129+28+23=180
\n" ); document.write( "Hence our answer is correct\r
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