Question

Angles One angle is 4º more than three times another. Find

the measure of each angle if

a. they are complements of each other.
b. they are supplements of each other.​

Answer 1

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Let the smaller angle be x

Then, Larger angle would be x + 4°

Case -1:

❍ They are complementary angles.

• This means, they add upto 90°

So,

➙ x + x + 4° = 90°

➙ 2x + 4° = 90°

➙ 2x = 86°

➙ x = 86°/2 = 43°

Then, x + 4° = 47°

So, Our required answer:

• Smaller angle = 43°
• Larger angle = 47°

Case -2:

❍ They are supplementary angles.

• This means, they add upto 180°

So,

➙ x + x + 4° = 180°

➙ 2x + 4° = 180°

➙ 2x = 176°

➙ x = 176°/2 = 88°

Then, x + 4° = 92°

So, Our required answer:

• Smaller angle = 88°
• Larger angle = 92°

✌️ Hence, solved !!

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