Question

the angles of quadrilateral are 4x 7x 15x and 10x find the value of x​

Answer 1

Answer:

Sum of all angles of a quadrilateral is 360 degrees.

4x + 7x + 15x + 10x = 360

36x = 360

x = 10.

Smallest angle = 4x = 40 degrees.

Largest angle = 15x = 150 degrees.

Step-by-step explanation:

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Answer 2

Question:

The angles of a quadrilateral are 4x, 7x, 15x and 10x. Then, find the value of x.

Answer:

It's been given that we have a quadrilateral with 4 angles 4x, 7x, 15x & 10x.

According to the Angle Sum Property (ASP), in a quadrilateral, 4 angles add up to give a total of 360°.

Let 4x, 7x, 15x and 10x be ∠A, ∠B, ∠C and ∠D respectively.

According to ASP of a Quadrilateral,

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 4x + 7x + 15x + 10x = 360°

⇒ 36x = 360°

⇒ x = 10°

Therefore the angles will be;

∠A = 4x = 4(10)° = 40°

∠B = 7x = 7(10)° = 70°

∠C = 15x = 15(10)° = 150°

∠D = 10x = 10(10)° = 100°