Question

In ∆PQR, if m∠P=x–12,m∠Q=5x–27, and m∠R=2x+3, write an equation and solve for x. x =

Answer 1

∠p= 15° , ∠q = 108° , ∠r = 57° Is the Answer

Explanation:

, (x -12)° + (5x-27)° + (2x + 3)° = 180°

or, 8x° -36° = 180°

Or x =

So, x = 27°

∴ ∠P = 27° -12° = 15°

∠q = (5 × 27)° -27° = 108°

∠r = (2 × 27)° + 3° = 57°