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18. The two angles of a triangle are in the ratio of 2 : 3. The sum of these angles are equal to the third angle. Find the angles of the triangle.10 |
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Answer» -STEP explanation:Let the two angles of the triangle be 4x and 5x. Then, as per the QUESTION, we knowthird angle =4x+5x=9xWe know that sum of all the angles of a triangle is 180 ∘ .∴4x+5x+9x=180 ∘ ⇒18x=180 ∘ ⇒x=10 ∘ ....[On DIVIDING both sides by 18]So, first angle = 4x ∘ = 4×10 ∘ =40 ∘ ,second angle = 5x ∘ = 5×10 ∘ =50 ∘ ANDAND third angle = 9x ∘ = 9×10 ∘ =90 ∘ |
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