Given: angle 1 is supplementary to angle 2 and angle 1 is congruent to angle 3. prove: angle 3 is supplementary to angle 2.

 ∠1 and ∠2 are supplementary    // given∠3 and ∠4 are supplementary    // given∠1 ≅ ∠3    // given m∠1 + m∠2 = 180°    // definition of supplementary anglesm∠3 + m∠4 = 180°    // definition of supplementary angles m∠1 + m∠2 = m∠3 + m∠4    // transitive property of equality m∠1 = m∠3    // definition of congruent angles m∠1 + m∠2 = m∠1 + m∠4    // substitution property of equality (replaced m∠3 with m∠1) m∠2 = m∠4    // subtraction property of equality (subtracted m∠1 from both sides) ∠2 ≅ ∠4    // definition of congruent angles

RM 687.3

Step-by-step explanation:

Number of members = 257

Each member makes = RM 25

So, total money = 257×25= RM 6425

1- 45 % of 6425 = 45 /100 × 6425=RM 2891.25

So, RM 2891.25  was spent for the year-end banquet. Hence remaining money after this expenditure = 6425-2891.25= RM 3533.75

2- 65 % of this remaining money = 65 /100 × 3533.75= RM 2296.45

So, RM 2296.5 were spent on souvenirs. Hence remaining amount = 3533.75 - 2296.45 =  RM 1237.3

3- Out of this remaining money RM 550 were spent for club jersey booking fees.

So, amount left = 1237.3 - 550 = RM 687.3