Question

How do l solve this HELP pls

Answer 1

As its a Quadrilateral

Using angle sum property

$\\ \sf\longmapsto 15x-5+65+100+95=360$

$\\ \sf\longmapsto 15x+60+195=360$

$\\ \sf\longmapsto 15x+255=360$

$\\ \sf\longmapsto 15x=360-255$

$\\ \sf\longmapsto 15x=105$

$\\ \sf\longmapsto x=\dfrac{105}{15}$

$\\ \sf\longmapsto x=7$

Answer 2

The angle sum property of a quadrilateral

• The sum of angles of a quadrilateral is 360°

⇛ ∠E + ∠F + ∠G + ∠H = 360°

Solution

$\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree$

$\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree$

$\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree$

$\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree$

$\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree$

$\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}}$

$\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree$