Answer:
∠APB = 106°
Step-by-step explanation:
Method 1: Focus on Triangle APB
Every angle of equilateral triangle ABC is 60°
∠BAP = 60°
∠ABP = 60° - 46° = 14°
Total degrees in one triangle is 180°
∠APB = 180° - 60° - 14° = 106°
Method 2: Exterior Angle Theorm
∠APB = ∠PBC + ∠PCB
∠APB = 46° + 60°
∠APB = 106°
Hey there! I'm happy to help!
Here's how to find the distance between any two points.
Find the difference of the x values.
-5-7=-12
Square it.
-12²=144
Find the difference of the y values.
6-3=3
Square that.
3²=9
Add the two numbers we got.
144+9=153
√153≈ 12.37.
Have a wonderful day! :D
