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Each of the two equal angles of an isosceles triangle is twice the third angle. Find the angles of the triangle.
  • a)
    36°, 72°, 36°
  • b)
    45°, 60°, 75°
  • c)
    36°, 36°, 72°
  • d)
    72°, 72°, 36° 
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Each of the two equal angles of an isosceles triangle is twice the thi...
Let the third angle be x°.
We know that the sum of the angles of a triangle is 180°. 
∴ 2x + 2x + x = 180° 
⇒ 5x = 180° 
⇒ x = 36°
So, the angles are (2 × 36)°, (2 × 36)° and (x)°
Hence, the angles of the triangles are 72°, 72°, 36°. 
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Each of the two equal angles of an isosceles triangle is twice the thi...
Let the measure of the third angle be x.

Since each of the two equal angles is twice the third angle, we have:

2x + 2x + x = 180

5x = 180

x = 36

So the measure of each of the equal angles is:

2x = 2(36) = 72

Therefore, the angles of the triangle are:

36°, 72°, 72°
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Each of the two equal angles of an isosceles triangle is twice the third angle. Find the angles of the triangle.a)36°, 72°, 36°b)45°, 60°, 75°c)36°, 36°, 72°d)72°, 72°, 36°Correct answer is option 'D'. Can you explain this answer?
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