Question

if x and (x/4degree) are complementary angles,find them.
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Answer 1

GiveN :

• Angles x and x/4 are complimentary angles

To FinD :

• Measure of both the angles

SolutioN :

As we know if angles are complimentary then their sum is 90°

$\dashrightarrow \tt{\angle 1 \: + \: \angle 2 \: = \: 90 ^{\circ}} \\ \\ \dashrightarrow \tt{x \: + \: \dfrac{x}{4} \: = \: 90} \\ \\ \dashrightarrow \tt{\dfrac{4x \: + \: x}{4} \: = \: 90} \\ \\ \dashrightarrow \tt{5x \: = \: 90 \: \times \: 4} \\ \\ \dashrightarrow \tt{5x \: = \: 360} \\ \\ \dashrightarrow \tt{x \: = \: \dfrac{360}{5}} \\ \\ \dashrightarrow \tt{x \: = \: 72}$

• Firts angle = x = 72°
• Second angle = x/4 = 18°

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Verification :

If the sum of both the angles will be 90°, then our answer will be correct.

⇒72° + 18°

⇒90° = 90°

• Hence our answer is correct

Answer 2

Step-by-step explanation:

I hope this may help you