Find the measures of ∠n and ∠p. !

choice A) both angles (N and P) are 25 degrees

MN and MP are the same length as shown by the tickmarks (they are congruent segments). So angle N and angle P are the same measure

Angle N is 4b-19 while angle P is 2b+3. Set the two expressions equal to each other and solve for b

4b - 19 = 2b + 3

4b - 2b = 3+19

2b = 22

b = 22/2

b = 11

If b = 11, then,

angle N = 4*b - 19 = 4*11 - 19 = 44 - 19 = 25 degrees

angle P = 2*b + 3 = 2*11 + 3 = 22 + 3 = 25 degrees

As expected, angle N and angle P are the same measure

Note: this is an isosceles triangle because it has two sides that are the same length.