Question

what is the measure of an angle, whose measure is 52° less than the measure of its supplement​

Answer 1

Answer:

19°

Step-by-step explanation:

let the angle be x

then its supplementary angle will be x+52° since it's greater than it by 52°

now

x+x+52°=90°

2x=38°

x=19°

Answer 2

explanation of answer step by step

let angle be X

so, X=S-52° it is 1st equation

now, X+S=180°, it is 2nd equation.

so, putting the value of X in equation 2nd

S-52+S=180

=2S=180+52

=2S=232

S=232/2

s=116°

Now put the value of s in equation 2nd

X+S=180°

=X=180-116

=X=64°

so, measure of the angle=64°

answer