Question

One of two complementary angles is 20 degrees larger than the other. Find the measure of each
Pleasee help :)))

Answer 1

what do complementary angles add up to?

Answer 2

lets say the angles are \[\theta\qquad \& \qquad \phi\]

complementary angles add to 90°
so\[\theta+\phi=90°\]

we also know that one of the angle is 20° larger than the other ,
so\[ \theta=\phi+20°\]
________
find the solution to the two equations simultaneously by substitution ,
sub theta from the second equation into the first
\[\phi+20°+\phi=90°\]

solve this for phi,

back substitute to find theta,

Answer 3

i have trouble doing simultaneous equations

Answer 4

ok, all you have to do is (20 + x) + x = 90

Answer 5

to find what x is

Answer 6

so, combine like terms (x and x) first

Answer 7

so.. it'll be 2x?

Answer 8

yep. 20 + 2x = 90

Answer 9

and now it's simple. just solve for x

Answer 10

do you know how to solve for x?

Answer 11

oh okay so it'll be 35?

Answer 12

yea, so one angle is 35 degrees and the other is 35 + 20

Answer 13

55?

Answer 14

yep

Answer 15

now double check by seeing if 35 + 55 = 90

Answer 16

yeah it does thanks

Answer 17

no problem :)