Question

The angles of a quadrilateral are in the ratio 3 : 6 : 8 : 13. What is the difference between the largest and the smallest angle of the quadrilateral ? *WHAT ARE THEY

Answer 1

Answer:

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Step-by-step explanation:

WE KNOW THAT THE SUM OF ALL ANGLES OF A UQADRILATERAL IS 360 DEGREES THEN ANGLE OF FIRST PART = 3/30*360=36 DEGREE

SECOND PART = 72DEGREES     THIRD PART = 96 DEGREES  AND FOURTH PART = 156DEGREES

HENCE DIFFERENCE BETWEEN TWO ANGLES ARE = 120

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Answer 2

Answer:

Given ratio of angles of quadrilateral ABCD is 3:6:8:13

Let the angles of quadrilateral ABCD be 3x,6x,8x,13x respectively.

⇒3x+6x+8x+13x=360° [ Sum of all angles of a quadrilateral is 360° ]

∴x=12°

∴∠A=3×12 =36°

∠C=8×12 =96°

⇒∠B=6×12 =72°

∠D=13×12 =156°

∴ The largest angle and the smaller angle is:

$hence \: the \: answer \: is \: 36 {}^{0} ano156 {}^{0}$