Question

(3) If two complementary angles are in ratio 1:4. Find their measures.​

Answer 1

Answer:

18° and 72°

Step-by-step explanation:

Let the angles are x° and 4x° respectively.

sum of two complementary angles are 90°.

now, x°+4x°=90°

5x°=90°

x°=18°

hence angles are x°=18°

and 4x°= 4×18°=72°.

Answer 2

Step-by-step explanation:

angle a = 1x

angle b = 4x

sum of two complementary angles = 90 degrees

1x + 4x = 90

5x = 90

x = 90/5

x = 18

angle a = 1x

= 1(18)

= 18

angle b = 4x

= 4(18)

= 72

therefore, angle a = 18

angle b = 72