Question

The measure of an angle is 30 degrees less than its supplement. Find the measure of theangles.
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

◈ Given:-

• An angle is less than 30° of its complement.

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◈ To Find:-

• Measure of both the angles.

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◈ Property Used:-

Two angles are said to be supplementary angles when thier sum is 180°.

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◈ Solution:-

Let the complement angle be x°

than the given angle be x-30°

According to given conditions;

Sum of Complement angles = 90°

➟ x + (x-30) = 180

➟ x + x - 30 = 180

➟ 2x - 30 = 180

➟ 2x = 180 + 30

➟ 2x = 210

➟ x = 210 ÷ 2

➟ x = 105°

∴x = 105°

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◈ Answer:-

• Angle = x = 105°
• Complement of angle = x - 30

= 105 - 30 = 75°.

Hence, Angles are 105° and 75°.

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