Question

find the angle which is 45 degree less than twice its supplement​

Answer 1

Answer:

supplement angles are those whose sum is 180°.

let the first angle be 'x' and then the second Angle will be

2x-45°

SO,

(2x-45°)+x=180°

2x-45°+x=180°

3x-45-180°

3x=180°+45

x=225/3

x=75°

and

second angle will be

2x-45

2(75)-45

150-2

=148°

Step-by-step explanation:

Hope it helps..

Answer 2

we have-

x+2x-45=180

=3x-45=180

=3x=180+45 (On Transposing -45 to RHS becomes+45) =3x=225

=x=225/3 (On Transposing *3 to RHS becomes /3) =x=75 degrees (This is the first angle)

So, 2nd angle= 2x-45= 2*75-45= 150-45= 105 degrees On checking, we have 105+75=180 degrees.

So greater angle measures 105 degrees.