Question

a) 180
13. If two complementary angles are in the ratio 1:5, then the angles are
a) 150, 75°
b) 750, 15°
c) 12°, 60°
d) 60°, 12​

Answer 1

Answer:

complementary angles are those angles who add up to 90°

Angles given ,

1:5

1 x and 5x

we know complementary angles add up to 90°

therefore , 1x +5x=90°

since now we have an equation, we can solve it!

1x+5x=90°

6x=90°

x=90/6

x=15°

we have found out the value of (x),bow we substitute this value of (x) in 1x and 5x

1x

1(15)

15°

therefore,1x = 15°

5x

5(15)

75°

therefore,5x =75°

so,the angles are 15° and 75°

let's check our answer

since complementary angles addup to 90° we must get 90° when sum up the angles found .let's try

15° + 75° = 90°

90° = 90°

LHS = RHS

therefore,our answer is correct!

Answer 2

Step-by-step explanation:

it's c 12°,60°.....................