Question

Each of the two equal angles of an is twice the third angle. Find the angles of the triangle. ​

Answer 1

Answer:

The angles are 72°,72° and 36°

Answer 2

$\large{\sf{\underline{Given:-}}}$

• Two angles of a triangle are twice the third angle.

$\large{\sf{\underline{Find:-}}}$

• The angles of the triangle.

$\huge{\frak{\underline{Solution:-}}}$

As, two of the angles of the triangle are twice the third side, then consider:

• 1st angle - 2x
• 2nd angle - 2x
• 3rd angle - x

Now,

We know that, the sum of the angles of a triangle is 180°

= 2x + 2x + x = 180

= 5x = 180

= x = $\dfrac{180}{5}$

= x = 36°

★ The angles are :

• 2x = 2 × 36 = 72
• 2x = 2 × 36 = 72
• x = 36

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