Question

Determine x sabendo que os angulos são complementares:

Answer 1

a)

$2x+x=90^{\circ}\\3x=90^{\circ}\\x=\dfrac{90^{\circ}}{3}$

$\boxed{\boxed{\mathsf{x=30^{\circ}}}}$

b)

$2x+4x+3x=90^{\circ}\\9x=90^{\circ}\\x=\dfrac{90^{\circ}}{9}$

$\boxed{\boxed{\mathsf{x=10^{\circ}}}}$

c)

$x+x+20^{\circ} =90^{\circ}\\2x=90^{\circ}-20^{\circ} \\2x=70^{\circ}\\x=\dfrac{70^{\circ}}{2}$

$\boxed{\boxed{\mathsf{x=35^{\circ}}}}$

d)

$2x+15^{\circ}+2x-25^{\circ} =90^{\circ}$

$4x=90^{\circ}+25^{\circ}-15^{\circ}\\4x=100^{\circ}\\x=\dfrac{100^{\circ}}{4}$

$\boxed{\boxed{\mathsf{x=25^{\circ} </p><p>}}}$