Question

If an angle is 20° less than its supplementary angle, find the measure of the larger angle.​

Answer 1

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Answer 2

Given :-

• An angle is 20° less than its supplementary angle

To Find :-

• The measure of the larger angle.

Solution :-

~Here, we're given that an angle is 20° less than it's supplementary angle . So , firstly we'll assume that angle as a variable and form an equation according to the question. After solving that equation we'll get the required angle.

As we know that ,

★ Sum of supplementary angles is 180°

• Let the first angle be 'x'
• other angle will be '180-x'

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According to the question :-

⟶ ( 180 - x ) - x  = 20

⟶ 180 - 2x = 20

⟶ 2x = 180 - 20

⟶ 2x = 160

⟶ x = 160 ÷ 2

⟶ x = 80°  ( smaller angle )

⟶ 180 - x  = 100° ( larger angle )

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Therefore,

• The measure of the larger angle is 100°

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