To find the value of angle $x$ for each problem, we use the rule for
supplementary angles. Supplementary angles are two angles that add up to make a straight line, which equals
180 degrees.
So, the formula is:
$$x + \text{known angle} = 180$$
Or simply:
$$x = 180 - \text{known angle}$$
Here is the step-by-step solution for each number:
1. The known angle is $80^\circ$.
$$x = 180 - 80 = 100$$
2. The known angle is $25^\circ$.
$$x = 180 - 25 = 155$$
3. The known angle is $48^\circ$.
$$x = 180 - 48 = 132$$
4. The known angle is $150^\circ$.
$$x = 180 - 150 = 30$$
5. The known angle is $145^\circ$.
$$x = 180 - 145 = 35$$
6. The known angle is $90^\circ$.
$$x = 180 - 90 = 90$$
7. The known angle is $75^\circ$.
$$x = 180 - 75 = 105$$
8. The known angle is $130^\circ$.
$$x = 180 - 130 = 50$$
Final Answer:
1. x = 100°
2. x = 155°
3. x = 132°
4. x = 30°
5. x = 35°
6. x = 90°
7. x = 105°
8. x = 50°
Parent Tip: Review the logic above to help your child master the concept of supplementary complementary angles worksheet.
