Question

two complementary angles are in the ratio 1:5 . find the measure of the angles.​

Answer 1

Answer:

complementary angles add up to 90°

75° and 15°

Step-by-step explanation:

answer is in the attachment

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Answer 2

Answer:

Measure of two complementary angles $15$° and $75$° .  

Step-by-step explanation:

To find : measure of two complementary angles .

Given : two complementary angles are in the ratio 1:5  

Solution :

• As per given data we know that , two complementary angles are in the ratio 1:5 .
• Complementary angles are angles whose sum adds up to $90$° .
• Let , $1x$ and $5x$ be two complementary angles .
• Therefore , we get ,

         $1x + 5x = 90 \\\\6x = 90 \\\\ x =\frac{90}{6} \\\\x = 15$

• Now , substituting the value of $x$ in $1x$ and $5x$ to find measures of angles.
• $1x = 1\times 15 = 15$°
• $5x = 5\times 15 = 75$°