Examine the paragraph proof. which theorem does it offer proof for?

lines wz and xy intersect at point v

prove: ∠xvz ≅ ∠wvy

we are given an image of line wz and line xy, which intersect at point v. m∠xvz + m∠zvy = 180° by the definition of supplementary angles. m∠zvy + m∠wvy = 180° by the definition of supplementary angles. since the sum of m∠xvz + m∠zvy = m∠zvy + m∠wvy by the transitive property of equality, m∠zvy can be subtracted from both sides of the equation because of the subtraction property of equality. therefore, m∠xvz = m∠wvy and ∠xvz ≅ ∠wvy by the definition of congruent angles.

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

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%

s

step-by-step explanation: