Answer: AA similarity theorem.
Step-by-step explanation:
Given : AB ∥ DE
Prove: ΔACB ≈ ΔDCE
We are given AB ∥ DE. Because the lines are parallel and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines. Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA.
Also ∠C ≅ ∠C using the reflexive property.
Therefore by AA similarity theorem , ΔACB ≈ ΔDCE
- AA similarity theorem says that if in two triangles the two pairs of corresponding angles are congruent then the triangles are similar .
Answer:
The measure of
:

Step-by-step explanation:
The measurement of
is also
, because both
and the angle with the measure of
are congruent.
Answer:
The height of Mrs. Marigold's roof is 10 feet.
Step-by-step explanation:
Given that,
Base of the given triangle = 48 ft
Hypotenuse = 26 ft
Half of the base = 24 ft
Using Pythagoras theorem,

So, the height of Mrs. Marigold's roof is 10 feet.
What is the question again
Answer:
The answer is B
Step-by-step explanation:
B