Question

Two complementary angles are in the ratio 4:5, find their measures.please answer this question I have to check my HW ​

Answer 1

Answer:

hey mate, here is your answer

Step-by-step explanation:

→ Let the two angles be 4x and 5x

→ The sum of two complementary angles is 90 ° .

→∴ 4x+5x=90 °

→ 9x=90 °

→ x = 90° / 9 = 10 °

→ So the angles are  4 X 10 ° = 40 ° and 5 X 10 ° = 50°

hope it was helpful  

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Answer 2

Answer:

The value of one angle is 40° and the second angle is 50° .

Step-by-step explanation:

Let the first angle be 4x.

Let the second angle be 5x.

According to question,

As we know the sum of complimentary angle are 90°

4x + 5x = 90°

9x = 90°

x = 90/9

x = 10°

∴ The value of first angle = 4x = 4 x 10

                                                  = 40°

∴ The value of first angle = 5x = 5 x 10

                                                  = 50°

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Hope the answer helped you.

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