Question

If the angles of a triangle are in the ratio 5 : 6 : 7. Find the three angles.

Answer 1

Answer:

90,108,126

Step-by-step explanation:

Let the angels be 5x,6x,7x

5x+6x+7x=180°

18x=180°

x=180/18

x=10

5x=5×18=90

6x=6×18=108

7x=7×18=126

Answer 2

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If the angles of a triangle are in the ratio 5 : 6 : 7. Find the three angles.

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

$\sf\green{Given :}$

➣ The three angles of a triangle are in the ratio 5:6:7

$\sf\red{To \: Find :}$

➣ The Measure of all the three angles of a triangle

$\sf\pink{Solution :}$

➪ Let, the first angle of the triangle = 5x

➪ Let, the second angle of the triangle = 6x

➪ Let, the third angle of the triangle = 7x

➤ By using Angle Sum Property of Triangle

➤ Sum of Angles in a triangle = 180°

⟼ 5x + 6x + 7x = 180°

⟼ 18x = 180°

⟼ x = $\cancel\frac{180}{18}$

⟼ x = 10

➙ The Measure of the first angle of the triangle = 5x = 5 × 10 = 50°

➙ The Measure of the second angle of the triangle = 6x = 6 × 10 = 60°

➙ The Measure of the third angle of the triangle = 7x = 7 × 10 = 70°

➦ So, the three angles of the triangle are 50°, 60° and 70°