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GREYUIT [131]
3 years ago
7

Triangles A C B and M Q R are shown. Sides A B and M R are congruent. Angles C A B and M R Q are 42 degrees. Angle C B A is 53 d

egrees. Angle M Q R is 85 degrees. 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, AngleB is not congruent to AngleQ. No, the congruent sides do not correspond.
Mathematics
2 answers:
Harrizon [31]3 years ago
8 0
The answer to your question is no
morpeh [17]3 years ago
4 0
Where are the triangles
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AWARDING DOUBLE POINTS question in pic, will report anything other than the answer
mash [69]

Answer:

m∠R is 72°

Step-by-step explanation:

In the given figure

∵ ΔPQR ≅ ΔUVW

→ From congruency

∵ m∠P = m∠U

∵ m∠Q = m∠V

∴ m∠R = m∠W

∵ m∠R = (10x - 18)°

∵ m∠W = 8x°

∵ m∠R = m∠W

→ Equate their measures

∴ 10x - 18 = 8x

→ Add 18 to both sides

∵ 10x - 18 + 18 = 8x + 18

∴ 10x = 8x + 18

→ Subtract 8x from both sides

∴ 10x - 8x = 8x - 8x + 18

∴ 2x = 18

→ Divide both sides by 2 to find x

∴ x = 9

→ Substitute the value of x in the m∠R

∵ m∠R = 10(9) - 18

∴ m∠R = 90 - 18

∴ m∠R = 72°

∴ m∠R is 72°

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44.8-40 = 4.8

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