Question

What is m<4 if m<5 = (2x) and m<4 = (x + 9)º?

Please

Answer 1

m∠4= 2x°

m∠5 = (x+9)°

case one: If both lie on the same plane then,

m∠4+ m∠5 = 180°

2x+x +9° = 180°

3x+9° = 180°

3x=171°

x= 171°/3

x= 57°

so,

m∠4 = 57° x 2° = 114°

m∠5= 57°+9° =66°

case two : If the angles are on opposite side of each other then,

m∠4=m∠5

2x= x+9°

2x-x=9°

x=9°

so,

m∠4m= 2x9 = 18°

∠5= 9+9= 18°

Answer 2

1.) m∠4 = 2x°

`→m∠4+ m∠5 = 180°`

`→2x+x +9° = 180°`

`→3x+9° = 180°`

`→3x=171°`

`→x= (171°)/(3)`

`→x= 57°`

So,

`m∠4 = 57° × 2° = 114°`

`m∠5= 57°+9° =66°`

2.) m∠5 = (x+9)°

`→m∠4=m∠5`

`→2x= x+9°`

`→2x-x=9°`

`→x=9°`

So,

`m∠4m= 2×9 = 18°`

`∠5= 9+9= 18°`