two angles are complementary. one angle measures 20 degrees more than the other angle. find the measure of the larger angle.

Question

two angles are complementary. one angle measures 20 degrees more than the other angle. find the measure of the larger angle.

Answer 1

Answer 2

Firstly, we have to know which angles are called Complementary Angles...

if we add two angles and the total will be equal to 90 deg

lets say one angle is x and another angle is y

as they are comlementary angles from the definition we can write the eqation x + y = 90

one angle is 20 deg more than other one so from above condition we wite x = 20 + y

substitute the value of x in the first eaquation we get, 20 + y + y = 90

then, 20 + 2y = 90

subtracting 20 from both sides,

2y = 90-20 = 70

dividing both sides by 2,

2y/ 2 = 70 / 2

y = 35

so we got one angle is 35 deg

another angle is 35 + 20 = 55 deg our answer is 55 deg the larger angle