BRAINLIEST QUESTION

In the diagram below, AB and DE are parallel.

Which of the following statements must be true?

A.) ∠C is a right angle

B.) ∠D and ∠E are congruent

C.) Triangles ABC and DEC are similar.

D.) None of the above

the answer is triangles ABC and DEC are similar

Step-by-step explanation:

angle C is a common angle for both triangles

angle D is equal to angle A ( corresponding angles)since they are parallel

angle B is also equal to angle B for the same reason as angle D and A

since the three angles of the two angles are equal they are similar

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

the answer is d

hope this