Respuesta :

Answer:

Larger angle = 132°

Other angle = 48°

Step-by-step explanation:

Supplementary angles add up to 180°

L:et the two angles be x and y with x being the greater angle

We have x + y = 180°   (1)

and

x = y + 84

Plugging this into equation (1) we get
x + y =  180°

→   y + 84 + y =  180°

→  2y + 84 = 180°

→   2y = 180° - 84°

→   2y = 96°

→    y = 96/2

→   y = 48°

→   x = 84 + 48 (or 180-48)

→   x = 132°

Answer:

x=(180-x)+84

x=180-x+84 add 180 to84

x=264-x add x on both side

2x=264 divide both side by 2

x=132

180-132=48

Step-by-step explanation: