Question

two supplementary angles differ by 32 degree the smaller of the two measure is​

Answer 1

hey mate!!

let two supplementary angles be x,y

x+y=180°

x-y=32

---------------

2x=212

---------------

x=106°

other angle is 180-106=74°

smaller angle is 74°

hope the answer helps u

Answer 2

Hey mate!

here is your answer:

Sum of supplementary angles=180

Let the two angles be x and y

so, x+y=180...(1)

and in question we are given that their difference is 32

so, x-y=32

x=32+y

substituting the value of x in (1)

we get , 32+y+y=180

32+2y=180

2y=180-32

2y=148

y=148/2=74

Now, x=32+y=74+32=106

Smaller angle is y =74

hope it helped^_^