Two complementary angles have measures of #2x+5°# and #3x-10°#. What is the measure of each of the angles?
2 Answers
Explanation:
A complementary angles means angles that add up to
So
Our first angle
Now we solve for
Add
Divide both sides by
Now and after we find
Hope it helps :)
Explanation:
Complementary angles are
#color(blue)"2 angles whose sum is 90 degrees"# Hence
#2x + 5# and#3x - 10# , sum to#90# .
#rArr2x+5+3x-10=90larr" equation to be solved"#
#rArr5x-5=90# add 5 to both sides of the equation.
#5xcancel(-5)cancel(+5)=90+5#
#rArr5x=95# To solve for x, divide both sides by 5.
#(cancel(5) x)/cancel(5)=95/5#
#rArrx=19" is the solution"# The 2 angles are therefore.
#2x+5=(2xx19)+5=43^@# and
#3x-10=(3xx19)-10=47^@#