Question

The difference of two complementary angles is 30°. Then the angles are​

Answer 1

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The difference of two complementary angles is 30°. Then the angles are

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$\huge\boxed{\blue{Given :}}$

➣ The Difference of two complementary angles = 30°

$\huge\boxed{\red{To \: Find :}}$

➣ The Measure of The Smaller Complementary Angle

➣ The Measure of the Larger Complementary Angle

$\huge\boxed{\pink {Solution :}}$

➪ Let, the smaller complementary angle = x°

➪ Let, the larger complementary angle = x + 30°

➪ The Sum of two complementary angles = 90°

⇒ x + x + 30° = 90°

⇒ 2x + 30° = 90°

⇒ 2x = 90° - 30°

⇒ 2x = 60°

⇒ x = $\cancel\frac{60°} {2}$

⇒ x = 30°

➣ Smaller Complementary Angle = x° = 30°

➣ Larger Complementary Angle = x + 30° = 30° + 30° = 60°

➦ So, the Measure of the smaller Complementary Angle is 30° and the Measure of the larger Complementary Angle is 60°

Answer 2

Then the angles are 30°

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