midnightvelvet
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Are the triangles congruent? Why or why not?

Yes, all the angles of each of the triangles are acute.
Yes, they are congruent by either ASA or AAS.
No, B is not congruent to Q.
No, the congruent sides do not correspond.

I'll mark brainliest or something.

Are the triangles congruent Why or why not Yes all the angles of each of the triangles are acute Yes they are congruent by either ASA or AAS No B is not congrue class=

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Kaikerscupcake
The correct answer is:

Yes, they are congruent by either ASA or AAS. 

We know one side is congruent with the marking, and two angles are at least congruent. 

I hope this helps!
~kaikers

ΔABC and ΔRQM are congruent triangles. They are congruent by either ASA or AAS.

What are congruent triangles?

"Two triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."

What is AAS postulate of triangle congruence?

"Two triangles are congruent when two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle. "

What is ASA postulate of triangle congruence?

"Two triangles are congruent when two angles and side included between them are equal to the corresponding angles and sides of another triangle. "

For given question,

We know that the sum of all angles of a triangle is 180°

For ΔABC,

⇒ ∠A + ∠B + ∠C = 180°

⇒ 42° + 53° + ∠C = 180°

⇒ 95° + ∠C = 180

⇒ ∠C = 85°

For ΔABC and ΔRQM,

∠A = ∠R

∠C = ∠Q

AB = RM

So, by AAS postulate ΔABC and ΔRQM are congruent triangles.

For ΔRQM,

⇒ ∠R + ∠Q + ∠M = 180°

⇒ 42° + 85° + ∠M = 180°

⇒ ∠M = 53°

For ΔABC and ΔRQM,

∠A = ∠R

∠B = ∠M

AB = RM

So, by ASA postulate ΔABC and ΔRQM are congruent triangles.

Therefore, ΔABC and ΔRQM are congruent triangles. They are congruent by either ASA or AAS.

Learn more about congruent triangles here:

https://brainly.com/question/12413243

#SPJ3

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