In triangle abd, be ⊥ ad and ∠ebd ≅ ∠cbd.

if ∠abe = 52°, what is the measure of ∠edb?
a) 12°
b) 26°
c) 52°
d) 64°

Option B.

Step-by-step explanation:

step 1

Find the measure of angle EBD

we know that

remember that

substitute the values

step 2

Find the measure of the angle EDB

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

In the right triangle BED

we have

substitute

B.

Step-by-step explanation:

We are given that a triangle ABD, BE is perpendicular to AD and angle EBD is congruent to angle CBD.

We have to find the measure of angle EDB.

Let

Then, because angle EBD is congruent to angle CBD.

(linear sum)

In triangle EBD

(sum of angles of triangle )

Substitute the values then we get

Hence,

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

c. side angle side. u shares the same sides