With this question, ! i don t understand!

  m∠LPM = 60°

Step-by-step explanation:

The measure of the angle facing the marked arcs is the average of the measures of the arcs:

  m∠LPM = (1/2)(40° +80°) = 60°

The lenght of the other leg is 35 milimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply Pythagorean Theorem. It states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other legs.

Mathematically speaking:

c ² = a ² + b²

Where: c= hypotenuse  

a and b = the other legs

Replacing with the values given:

37² = 12² + b ²

Solving:

37² - 12 ² = b²

1,369 -144 =b²

1,225 =b²

√1,225 =b

35= b

In conclusion, the correct option is 35 millimeters.