Question

If the angles (12x +27) degree and (6x +9)degree are supplementry ,find the measures of these angles.

Answer 1

$\bf{\underline{Question:-}}$

If the angles (12x +27) degree and (6x +9)degree are supplementry ,find the measures of these angles.

$\bf{\underline{Given:-}}$

• If the angles (12x +27) degree and (6x +9)degree are supplementry

$\bf{\underline{To\:Find:-}}$

• Measure of the angles = ?

$\bf{\underline{Solution:-}}$

$\sf → 12x+27+6x+9=180$

$\sf → 18x+36=180$

$\sf → 18x=180-36=144$

$\sf → 18x=144$

$\sf → x=8$

$\bf{\underline{Hence:-}}$

• The measure of the angles

$\sf → 12x+27=12(8)+27=123°$

$\sf → 6x+9=6(8)+9=57°$