For what angle D is ΔABC cong

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

For what angle D is ΔABC congruent to ΔDEF, given AC = 2.5 cm, BC = 5 cm, ∠C = 75^o, DE = 2.5 cm and DF = 5 cm ?

Options:

75^o

25^o

35^o

90^o

Correct Answer:

75^o

Explanation:

We have,

ΔABC congruent to ΔDEF

AC = 2.5 cm, BC = 5 cm,

∠C = 75°, DE = 2.5 cm

DF = 5 cm

According to the question,

In ΔABC and ΔDEF

= AC = 2.5 cm = DE

= BC = 5 cm = DF

Then, = ∠C = ∠D = 75°