Question

if the angle of the triangle are in the ratio of 2:3:4 find the value of each angle​

Answer 1

Answer:

40,60,80

Step-by-step explanation:

check out the image for explanation

Answer 2

Solution :

⏭ Given:

✏ The angle of triangle are in the ratio of 2:3:4

⏭ To Find:

✏ Value of each angle

⏭ Concept:

✏ We know that, Sum of all three angles of triangle = 180°

$\star \: \underline{ \boxed{ \bold{ \sf{ \pink{ \sum{angles} = 180 \degree}}}}} \: \star$

⏭ Assumption:

• ∠A = 2x
• ∠B = 3x
• ∠C = 4x

⏭ Calculation:

$\implies \sf \: \angle{A} + \angle{B} + \angle{C} = 180 \degree \\ \\ \implies \sf \: 2x + 3x + 4x = 180 \degree \\ \\ \implies \sf \: 9x = 180 \degree \\ \\ \implies \sf \underline{\red{x = 20}} \\ \\ \bigstar \boxed{ \blue{ \sf{ \angle{A} = 2x = 40 \degree}}} \\ \\ \bigstar \boxed{ \green{ \sf{\angle{B} = 3x = 60 \degree }}}\\ \\ \bigstar\boxed{ \orange{ \sf{\angle{C} = 4x = 80 \degree}}}$