We are given that m∠aeb = 45° and ∠aec is a right angle. the measure of ∠aec is 90° by the definition of a right angle. applying the gives m∠aeb + m∠bec = m∠aec. applying the substitution property gives 45° + m∠bec = 90°. the subtraction property can be used to find m∠bec = 45°, so ∠bec ≅ ∠aeb because they have the same measure. since divides ∠aec into two congruent angles, it is the angle bisector.

The proof is given below.

Step-by-step explanation:

Given m∠AEB = 45° and ∠AEC is a right angle. we have to prove that EB divides ∠AEC into two congruent angles, it is the angle bisector.

Given ∠AEC=90°      (Given)

∠AEC=∠AEB+∠BEC  

⇒ 90° = 45° +∠BEC      (Substitution Property)

By subtraction property of equality

⇒ ∠BEC = 90° - 45° = 45°    

Hence, both angles becomes equal gives ∠AEB≅∠BEC

Since EB divides ∠AEC into two congruent angles, ∴ EB is the angle bisector.

The answer is angel addition postulate

Step-by-step explanation:

answer:

c 60% on edg

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)