m∠1 + m∠2 + m∠3 = 180° Sum of angles of a triangle is 180° m∠4 + m∠3 = 180° Supplementary angles add to 180° m∠1 + m∠2 - m∠4 = 0 Subtracted bottom eqn from top eqn m∠1 + m∠2 = m∠4 Added m∠4 to both sides, (DONE)