If one angle of a triangle is equal to the sum of the other two angles, then the triangle is(a) a right triangle(b) an isosceles triangle(c) an equilateral triangle(d) an obtuse triangle
Question
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is(a) a right triangle(b) an isosceles triangle(c) an equilateral triangle(d) an obtuse triangle
Solution
The answer is (a) a right triangle.
Here's why:
In a triangle, the sum of all three interior angles is always 180 degrees.
If one angle is equal to the sum of the other two, it means that one angle is 90 degrees (a right angle), because the other two angles must add up to 90 degrees to make the total 180 degrees.
Therefore, the triangle is a right triangle.
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