Question

In ΔNLM, if m∠M=(4x-4)°, m∠L=(3x+12)°, and m∠N=(6x+3)°, what is x?

Answer 1

x = 13

Explanation:

The sum of angle measures in a triangle is 180°.

m∠M + m∠L + m∠N = 180°

(4x-4)° + (3x+12)° + (6x+3)° = 180°

13x +11 = 180 . . . . . . collect terms, divide by °

13x = 169 . . . . . . . . . subtract 11

x = 13 . . . . . . . . . . . . . divide by 13