Question

two angles are complementary the larger angle is 34° larger than the smaller angle find the measure of both angles and separate your answers with the comma.

Answer 1

Answers;

Larger angle = 62 degrees

Smaller angle = 28 degrees

Step-by-step explanation:

Let the two complementary angles be x and y. Since the sum of complementary angles is 90degrees, hence;

x + y = 90 ....1

Let the larger angle be x and the smaller angle be y;

If the larger angle is 34° larger than the smaller angle,

x = 34 + y .....2

Substitute equation 2 into 1;

34+y+y = 90

34 + 2y = 90

2y = 90 - 34

2y = 56

Divide both sides by 2

2y/2 = 56/2

y = 28

Substitute y = 28 into equation 2;

x = 34 + 28

x = 62 degrees

Hence the measure of both anglea (x, y) is (62, 28)