Question

If angles of a quadrilateral are in the ratio 3:6 8:13 then find the measure of the
largest angle.​

Answer 1

Answer:

156 degrees

Step-by-step explanation:

let angles be 3x, 6x, 8x, 13x (as per the ratio)

3x + 6x + 8x + 13x= 30x

30x = 360 (sum of angles of quadrilateral is 360)

x = 12

therefore largest angle = 13x = 13*12 = 156 degrees

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Answer 2

$\sf{\huge{\underline{\orange{Given :-}}}}$

• The angles of a quadrilateral are in the ratio 3:6:8:13.

$\sf{\huge{\underline{To\:Find :-}}}$

• The measure of the largest angle.

$\sf{\huge{\underline{\green{Answer :-}}}}$

We have,

The angles of a quadrilateral are in the ratio 3:6:8:13.

Let the angles of quadrilateral be,

3x, 6x, 8x & 13x

We, know the sum of all angles of a quadrilateral is 360°.

3x + 6x + 8x + 13x = 360°

➝ 9x + 21x = 360°

➝ 30x = 360°

➝ x = 360/30

➝ x = 12

The angles of quadrilateral is

• 3x = 3 × 12 = 36°

• 6x = 6 × 12 = 72°

• 8x = 8 × 12 = 96°

• 13x = 13 × 12 = 156°

The largest angle of the quadrilateral is 156° .