Question

(y-20)° and (y+30)° are the measurs of complementary angles.find the measure of each angle

Answer 1

Sum of all complementary angles equals 90°. Hence,

y - 20 + y + 30 = 90°

2y + 10 = 90°

2y = 90° - 10

2y = 80°

=> y = 80 / 2 = 40°

Hence the two angles are :

( y - 20 ) = 40 - 20 = 20°

( y + 30 ) = 40 + 30 = 70°

Angles are 20° and 70°.

Hope it helped !

Answer 2

Answer:

Given: (y-20)° and (y+30)° are the measures of complementary angles.

Complementary angle states that sum of the two angle is 90 degree.

then,

$(y-20) +(y+30) =90$

Combine like terms;

2y +10 =90 or

2y = 90-10 =80

Divide both sides by 2, we get

$\frac{2y}{2}= \frac{80}{2}$

Simplify:

y =$40^{\circ}$

The measure of each angle ;

$(y-20)^{\circ}= 40-20 =20^{\circ}$ and

$(y+30)^{\circ}= 40+30 =70^{\circ}$