Question

Angles of a quadrilateral are ${\left(4x\right)}^{\circ },5{(x+2)}^{\circ },{(7x-20)}^{\circ }$ and $6{(x+3)}^{\circ }.$ Find
the value of $x$.

Answer 1

The sum of angles in quadrilateral = ${360}^{\circ }$

${\left(4x\right)}^{\circ }+5{(x+2)}^{\circ }+{(7x-20)}^{\circ }+6{(x+3)}^{\circ }={360}^{\circ }$

$4x+5x+10+7x-20+6x+18={360}^{\circ }$

$22x+8=360$

$22x=360-8=352$

$x=\frac{352}{22}=16$