SOLUTION: two angles are complementary.the measure of the larger angle is 20 degrees morethan the measure of the smaller angle..give the measure of the two angles

Algebra ->  Angles -> SOLUTION: two angles are complementary.the measure of the larger angle is 20 degrees morethan the measure of the smaller angle..give the measure of the two angles       Log On


   



Question 815451: two angles are complementary.the measure of the larger angle is 20 degrees morethan the measure of the smaller angle..give the measure of the two angles

Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = measure of smaller angle
x + 20 = measure of larger angle {larger is 20 more than smaller}

Complementary angles add up to 90°.

x + x + 20 = 90 {added the two angles and set equal to 90}
2x + 20 = 90 {combined like terms}
2x = 70 {subtracted 20 from each side}
x = 35 {divided each side by 2}
x + 20 = 55 {substituted 35, in for x, into x + 20}

smaller angle measures 35°
larger angle measures 55°

For more help from me, visit: www.algebrahouse.com