Question

please answer fast please help me fast​

Answer 1

Answer:

==>AnglePQR+ AngleQRS+ AngleRSP+ AngleSPQ = 360

==>125+3X+9+5X-5+X+3+30=360

==>162+9X=360

==>9X=198

==>X=22

Answer 2

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To Calculate

• Value of x

Concept

• According to the angle sum property of a Quadrilateral, the sum of all the four interior angles is 360 degrees.

Solution

According to question,

Sum of angles of quadrilateral = 360°

$\bf \implies 125 +( x + 8 )+ (x + 3) +( 2x + 1 )+( 5x - 5 )+ 30 = 360$

$\bf \implies 125 + x + 8 + x + 3 + 2x + 1 + 5x - 5 + 30 = 360$

$\bf \implies 125 + 2x + 11 + 7x - 4 + 30 = 360$

$\bf \implies 162 + 9x = 360$

$\bf \implies 9x = 360 - 162$

$\bf \implies 9x = 198$

$\bf \implies x = 198 \div 9$

$\bf \implies x = 22 \degree$

Therefore, value of x is 22°.