Question

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Answer 1

Answer:

Value of x is

(i) 60°.

(ii) 10°.

(iii) 15°.

(iv) 36°.

Step-by-step explanation:

We know,

✿ Sum of all interior angles of triangle is 180° or we can say "Angle sum property of triangle" .

(i) We have angles : x , x - 5° and x + 5°.

→ x + (x - 5°) + (x + 5°) = 180°

→ x + x - 5° + x + 5° = 180°

→ 3x = 180°

→ x = 180°/3

→ x = 60°

Thus,

Value of x is 60°.

(ii) We have angles ; 9x, 6x and 3x.

→ 9x + 6x + 3x = 180°

→ 18x = 180°

→ x = 180°/18

→ x = 10°

Thus,

Value of x is 10°.

(iii) We have angles : x, 7x + 30° and 2x.

→ x + (7x + 30°) + 2x = 180°

→ x + 7x + 30° + 2x = 180°

→ 10x + 30° = 180°

→ 10x = 180° - 30°

→ 10x = 150°

→ x = 150°/10

→ x = 15°

Thus,

Value of x is 15°.

(iv) We have angles : x, 2x and 2x.

→ x + 2x + 2x = 180°

→ 5x = 180°

→ x = 180°/5

→ x = 36°

Thus,

Value of x is 36°.