Question

Question 98

Measures (in degrees ) of two supplementary angles are consecutive odd integers. Find the angles.

Answer 1

Let two consecutive odd integers x, x +2. It is given that both are supplementary angles. So, their sum will be ${180}^{\circ }$
$\therefore x+(x+2)={180}^{\circ }\Rightarrow 2x={180}^{\circ }-2\Rightarrow 2x={178}^{\circ }=\frac{{178}^{\circ }}{2}\Rightarrow x={89}^{\circ }$
Hence the two angles are ${89}^{\circ }and{91}^{\circ }$