Answer:
The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°
Step-by-step explanation:
The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:


Substituting
by
in the second equation, we have:


The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.
So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P:


Form a right angle triangle joining both given points to the origin, we get:
Perpendicular = 2 ( distance is always positive)
Base = 4 ( same logic)
Applying Pythagorus theorem
Hypotenuse = root of ( perpendicular squared + base squared)
Hypotenuse = root of 20 = 2 * root 5
Using x instead of theta
Sin x = perpendicular/hypotenuse
Cos x = base/hypotenuse
Sin x = -1/ root 5
Cos x = -2/ root 5
High probability of this answer being wrong.
Double check recommended.
Answer:
1. x = 0
2. x = -5
3. x = 25
4. y = 16
I hope this helped you!!!!
The answer is 4101 if the 2(3) is part of the exponent.
The answer is 53 if the 3 is not part of the exponenet.