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 and3x - 10 , sum to90 .
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^@