Question

if an angle is 28 degree less than its complement find the measures

Answer 1

Answer:

31° decired is answer

please mark as brilliant

Answer 2

Given :-

• An angle is 28 degree less than its complement.

To Find :-

• The Measures of the 2 angles.

Solution :-

❏ As we know that, Two Angles are said to be Complementry angles if their sum is 90°.

⟶ Let the First angle be x

⟶ Then the Second angle be x - 28

According to Situation :

➞ x + ( x - 28 ) = 90

➞ 2x - 28 = 90

➞ 2x = 90 + 28

➞ 2x = 118

➞ x = 118 / 2

➞ x = 59

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Therefore :

• First angle = x = 59°
• Second Angle = x - 28 = 59 - 28 = 31°

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