Subjects geometry

Angle G Size Aeba9A

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We are given two intersecting lines forming four angles. One angle is 89° at the top, and at the bottom right, there is an angle of 22° adjacent to angle $g$ on the bottom left. We need to find the size of angle $g$. 2. **Recall important rules:** When two lines intersect, opposite (vertical) angles are equal. 3. **Identify vertical angles:** The top angle of 89° is vertical to the bottom angle adjacent to $g$, so that bottom angle is also 89°. 4. **Use the straight line rule:** The bottom two angles (angle $g$ and the 22° angle) lie on a straight line, so their sum is 180°. 5. **Set up the equation:** $$g + 22 = 180$$ 6. **Solve for $g$:** $$g = 180 - 22$$ $$g = 158$$ 7. **Final answer:** The size of angle $g$ is $158^\circ$.