Question

if the interrior angles of quadrilateral are in ratio 6:5:4:3 then find the measure of each angle.plz tell me it's urgent​

Answer 1

Answer:

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Answer 2

$\huge\bf{Answer :}$

Let,

The Interior angles of Quadrilateral be

$6x</em></strong><strong><em>,</em></strong><strong><em> </em></strong><strong><em>5x</em></strong><strong><em>,</em></strong><strong><em> </em></strong><strong><em>4x</em></strong><strong><em> </em></strong><strong><em>\</em></strong><strong><em>:</em></strong><strong><em> </em></strong><strong><em>and</em></strong><strong><em> </em></strong><strong><em>\</em></strong><strong><em>:</em></strong><strong><em> </em></strong><strong><em>3x$

The Sum of all interior angles of a quadrilateral measures ${360°}$

Hence,

$6x + 5x + 4x + 3x = 360 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18x = 360 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{360}{18} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 20$

Therefore, The Angles are :

• $6x = 6 \times 20 = 120$
• $5x = 5 \times 20 = 100$
• $4x = 4 \times 20 = 80$
• $3x = 3 \times 20 = 60$

Hence,

The Interior Angles are $\huge{120, 100, 80 \: and \: 60}$