If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:
A
an isosceles triangle
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B
an obtuse triangle
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C
an equilateral triangle
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D
a right triangle
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Solution
The correct option is Da right triangle Sum of all angles of a triangle is 180∘. So, ∠A+∠B+∠C=180∘……(1) As per question, ∠A=∠B+∠C Let ∠A=x Substitute in equation (1) x+x=180∘. 2x=180∘ x=90∘ ∠B+∠C=90∘