In AJKL, JL is extended through point L to point M, m m

x = 15

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ KLM is an external angle of the triangle, thus

∠ KLM = ∠ JKL + ∠ KJL , substitute values

5x - 7 = x + 20 + 2x + 3

5x - 7 = 3x + 23 ( subtract 3x from both sides )

2x - 7 = 23 ( add 7 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x