Question 1047512
If A and B are complementary (their measures adding to {{{90^o}}} ),
then angle C measures {{{highlight(90^o)}}} ,
because the sum of the measures of all three angles in any triangle is {{{180^o}}} .
If {{{A}}} and {{{B}}} are the measures , in degrees, of angles A and B,
" The measure of angle A is 10° leas than four times the measure of B" translates as {{{A=4B-10}}} .
Then,
{{{system(A+B=90,A=4B-10)}}}-->{{{system(4B-10+B=90,A=4B-10)}}}-->{{{system(5B-10=90,A=4B-10)}}}-->{{{system(5B=90+10,A=4B-10)}}}-->{{{system(5B=100,A=4B-10)}}}-->{{{system(B=100/5,A=4B-10)}}}-->{{{system(B=20,A=4B-10)}}}-->{{{system(B=20,A=4*20-10)}}}-->{{{system(B=20,A=80-10)}}}-->{{{highlight(system(B=20,A=70))}}}