Question

the larger of two supplementary angles exceeds the smaller by 18 degrees find the complete solution​

Answer 1

Answer:

let the bigger angle = x

and smaller = y

accoeding to question:

x + y = 180  [ eq 1]

x = 18 + y  [eq 2]

putting eq 2 in eq 1:

18 + y + y = 180

2y = 180 - 18

y = 162/2

y= 81

PUTTING VALUE OF Y IN EQ 2

x = 18 + y

x = 18+81

x=99

 

X = 99 DEGREES AND Y = 81 DEGREES

Answer 2

Answer:

Step-by-step explanation:

Let the smaller angle be x,

Then the largest angle is x+18,

x+x+18=90

2x+18=90

2x=90-18

2x=72

x=72/2

x=36

Therefore,

The smaller angle be x,

=36 degree

Then the largest angle is x+18,

=(36 +18)degree

=54 degree