Given: m∠a + m∠b = m∠b + m∠c prove: m∠c = m∠a write a paragraph proof to prove the statement.

Since angle a + angle b = angle b + angle c, subtract b from both sides cancelling them and now you are left with angle a = angle c

Mop the floor hide the wet sign just to catch em slippin

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc