Question

two complementary angles differ by 14 degree . the larger angle is ​

Answer 1

Answer:

52°

Step-by-step explanation:

let us say the two angles are x and y

we know that complementary angles add up to 90°

in other words x + y = 90

we have been told that x - y = 14

we can solve this with a simultaneous equation using elimination method

x  +  y  =  90  (equation 1)

x   -  y  =  14   (equation 2)

we are looking for the bigger angle(x) so we eliminate y by adding equation 1 to equation 2

 x  +  y  =  90

+x  -   y  =  14

2x          = 104

divide both sides by 2

2x/2 = 104/2

x = 52

∴ the bigger angle is 52°