Question

Two complementary angles differ by 8°. Find the angles.

Answer 1

x+x+8=90
2x=82
X=41
X+8=49

Answer 2

$\huge\sf{\bold\green{Question -} }$

Two complementary angles differ by 8°. Find the angles.

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$\huge\sf{\bold\pink{Answer-} }$

✯ Sum of complementary angles is always equal to 90°

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• It is mentioned that the two angles differ by 8° from each other.

→ Let one of the complementary angle be x°

→ So, another angle would be (x-8)°

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Here, we got an equation to compute, i.e -

(x°) + (x-8)° = 90°

x + x - 8 = 90

2x - 8 = 90

2x = 90+8

x = 98÷2

x = 49

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• (x)° = 49°
• (x-8)° = 49-8 = 41°

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∴ The two complementary angles are 49° and 41°

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$\sf{\bold\blue{Proof -} }$

As ,the two angles are complementary, their sum would be 90°

${49}^{ \circ} + {41}^{ \circ} = {90}^{ \circ} \\ {90}^{ \circ} = {90}^{ \circ}$⠀⠀⠀⠀

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