Answer:
m∠P = 45°
Step-by-step explanation:
If m∠P = m∠2 then it's an isosceles triangle.
m∠M = 90°, therefore it's an isosceles right triangle.
We know, the sum of measures of angles in a triangle is equal 180°.
Therefore we have the equation:
m∠P + m∠2 + m∠M = 180°
Substitute m∠M = 90° and m∠P = m∠2 = x:
x + x + 90° = 180° substract 90° from both sides
2x = 90° divide both sides by 2
x = 45° → m∠P = 45°
