To solve for the angle marked $x$ in question 1, we need to use the properties of angles around a point and the sum of interior angles in a quadrilateral.
Step-by-Step Solution:
1.
Identify the given angles:
- The angles around the point where the lines intersect are 80°, 60°, 70°, and 90° (right angle).
2.
Sum of angles around a point:
- The sum of angles around a point is always 360°.
- So, we can write the equation for the angles around the point:
\[
80° + 60° + 70° + 90° + x = 360°
\]
3.
Calculate the sum of the known angles:
\[
80° + 60° + 70° + 90° = 300°
\]
4.
Set up the equation:
\[
300° + x = 360°
\]
5.
Solve for \( x \):
\[
x = 360° - 300°
\]
\[
x = 60°
\]
Final Answer:
\[
x = 60°
\]
Parent Tip: Review the logic above to help your child master the concept of interior and exterior angle worksheet.
