Question

The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle.​

Answer 1

$\huge{\mathcal{\underline\green{Question}}}$

The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle.

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

$\huge\boxed{\blue{Given :}}$

➣ Ratio of the three angles of a triangle = 1:2:1

➣ Let the first angle = x

➣ Let the second angle = 2x

➣ Let the third angle = x

$\huge\boxed{\red{To \: Find :}}$

➣ All the angles of a triangle

$\huge\boxed{\pink {Solution :}}$

➪ By using Angle Sum Property of triangle

➪ Sum of angles in a triangle = 180°

⇒ x + 2x + x = 180°

⇒ 4x = 180°

⇒ x = $\cancel\frac{180°} {4}$

⇒ x = 45°

➣ First angle of the triangle = x = 45°

➣ Second angle of the triangle = 2x = 2 × 45 = 90°

➣ Third angle of the triangle = x = 45°

➦ So, the three angles of the triangle are 45°, 90° and 45°

Answer 2

Step-by-step explanation:

➡By using Angle Sum Property of triangle

➡Sum of angles in a triangle = 180°

⇒ x + 2x + x = 180°

⇒ 4x = 180°

X=180°

⇒ x = 45°

➤ First angle of the triangle = x = 45°

➤ Second angle of the triangle = 2x = 2 x

45 = 90°

➤ Third angle of the triangle = x = 45°

➡So, the three angles of the triangle are 45°, 90° and 45°