Question

find x from the given figure

Answer 1

Given: Angles of the triangle:- 40⁰, 5x-3, 2x + 3

By angle sum property, know that sum of all the angles in a triangle is 180⁰.

I.e, 40⁰ + 5x-10 + 2x+3 = 180⁰

--> 7x - 7 = 180⁰ - 40⁰

--> 7x = 140 + 7

--> x = 147/7

--> x = 21

∴ Value of X = 21

Answer 2

Given:

The three angels are: (5x-10)°, (2x+3)°, 40°.

To find:

The value of x.

Solution:

We know that, the sum of all angles in a triangle is 180°.

⇒ (5x-10)°+(2x+3)°+40° = 180°

⇒ 5x°-10°+2x°+3°+40° = 180°

⇒ 5x°+2x°-10°+3°+40° = 180°

⇒ 7x°-10°+43° = 180°

⇒ 7x+33° = 180°

⇒ 7x° = 180°-33°

⇒ 7x° = 147°

⇒ x° = 147°÷7°

⇒ x° = 21°

Therefore, the value of " x is 21° ".

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~hope it helps

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