Given the following diagram, find the missing measure. given: m p = m 2; m p = 30 45 60 90

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°

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3