Question

Two supplementary angles differ by 48°. Find the two supplementary angles.

Answer 1

Answer:

Supplementary angles are two angles with a sum of 180 degrees. If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals x+48. The sum of the two angles is 180, so... x=66 This is the measure of the smaller angle.

Answer 2

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Two Supplementary Angles differ by 48°. Find the two Supplementary Angles.

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$\sf\green{Given :}$

➣ Two supplementary angles differ by 48°

$\sf\red{To \: Find :}$

➣ The Measure of the two supplementary angles

$\sf\pink{Solution :}$

➪ Let, the smaller supplementary angle = x

➪ Let, the larger supplementary angle = x + 48°

➪ The sum of the two supplementary angles = 180°

⟼ x + x + 48° = 180°

⟼ 2x + 48° = 180°

⟼ 2x = 180° - 48°

⟼ 2x = 132°

⟼ x = $\cancel\frac{132}{2}$

⟼ x = 66°

➙ The Measure of the smaller supplementary angle = x = 66°

➙ The Measure of the larger supplementary angle = x + 48° = 66 + 48 = 114°

➦ So, the measure of the smaller supplementary angle is 66° and the measure of the larger supplementary angle is 114°