Question

(y-40) and (y +20) are the measures of complementary angles. Find the measure
of each angle​

Answer 1

Step-by-step explanation:

Here,

(y-40°)+(y+20°)=90°(being complementary angle)

or, y-40°+y+20°=90°

or, 2y-20°=90°

or, 2y=90°+20°

or, y=110°/2

i.e. y=55°

Thus, (y-40°)=(55°-40°)=15°

and, (y+20°)=(55°+20°)=75°

Answer 2

Answer:

15° and 75°

Step-by-step explanation:

complementary angle means when the sun of two angles is equal to 90°

so here,

(y-40)+(y+20)=90

y-40+y+20=90

2y-20=90

2y=90+20

2y=110

y=110/2

y= 55

the angles are (y-40)=(55-40)=15°

and (y+20)=(55+20)= 75°

if we add these two angles then we see that

15°+75°=90°

so this is prove that the 15° and 75° are the complementary angle.