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Two complementary angles are given by 2x and 3X - 20* find them |
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Answer» The Complementary angles are 44° and 46
Given : The TWO complementary angles = 2x and (3x - 20) To Find : Measures of the angles Solution : Complementary angles are the angles which when added make the sum as 90°. The angles are - 2x (3x - 20) ★ \boxed{\sf{2x+(3x-20)=90}} 2x+(3x−20)=90
\longrightarrow⟶ 2x + (3x - 20) = 90 \longrightarrow⟶ 2x + 3x - 20 = 90 \longrightarrow⟶ 5x - 20 = 90 \longrightarrow⟶ 5x = 90 + 20 \longrightarrow⟶ 5x = 110 \longrightarrow⟶ x = 110/5 \longrightarrow⟶ x = 22 \rule{300}{1.5} ★ Value of 2x \longrightarrow⟶ 2 × 22 \longrightarrow⟶ 44° \rule{300}{1.5} ★ Value of (3x - 20) \longrightarrow⟶ (3 × 22) - 20 \longrightarrow⟶ 66 - 20 \longrightarrow⟶ 46° \therefore∴ The Complementary angles are 44° and 46°. \mathfrak{\large{\underline{\underline{Verification :-}}}} Verification:−
Add the Measures of the angles and check if the sum up and make 90°. \longrightarrow⟶ 44 + 46 \longrightarrow⟶ 90 \therefore∴ The Complementary angles are 44° and 46°. |
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