To find the value of $x$ for each pair of supplementary angles, we use the rule that
supplementary angles add up to $180^\circ$.
Here is the step-by-step solution for each problem:
1) The angles are $x$ and $65^\circ$.
$$x + 65 = 180$$
$$x = 180 - 65$$
$$x = 115$$
2) The angles are $x$ and $90^\circ$.
$$x + 90 = 180$$
$$x = 180 - 90$$
$$x = 90$$
3) The angles are $114^\circ$ and $x$.
$$114 + x = 180$$
$$x = 180 - 114$$
$$x = 66$$
4) The angles are $108^\circ$ and $x$.
$$108 + x = 180$$
$$x = 180 - 108$$
$$x = 72$$
5) The angles are $x$ and $25^\circ$.
$$x + 25 = 180$$
$$x = 180 - 25$$
$$x = 155$$
6) The angles are $x$ and $143^\circ$.
$$x + 143 = 180$$
$$x = 180 - 143$$
$$x = 37$$
7) The angles are $x$ and $160^\circ$.
$$x + 160 = 180$$
$$x = 180 - 160$$
$$x = 20$$
8) The angles are $x$ and $114^\circ$.
$$x + 114 = 180$$
$$x = 180 - 114$$
$$x = 66$$
Final Answer:
1) $x = 115$
2) $x = 90$
3) $x = 66$
4) $x = 72$
5) $x = 155$
6) $x = 37$
7) $x = 20$
8) $x = 66$
Parent Tip: Review the logic above to help your child master the concept of supplementary angle worksheets.
