Question

The angles of a triangle are in the ratio 1 : 1 : 4. The angles are.

Answer 1

Question :-

The angles of a triangle are in the ratio 1 : 1 : 4. The angles are.

Required Answer :-

Let

• Angle 1 = 1x
• Angle 1 = 1x
• Angle 4 = 4x

Angle A + Angle B + Angle C = 180°

( sum of all angles of triangle = 180° )

---> 1x + 1x + 4x = 180°

---> 6x = 180°

$-> x = \frac{180°}{6}$

---> x = 30°

Angle 1 = 1x = 1 × 30° = 30°

Angle 2 = 1x = 1 × 30° = 30°

Angle 3 = 4x = 4 × 30° = 120°

Hence, all angles of Triangles are 30°, 30° and 120°......

Verification :-

---> 30° + 30° + 120° = 180°

《 Hope that Helps 》