In △ ABC and △ DEF, ∠A = 55°

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In △ ABC and △ DEF, ∠A = 55°, AB = DE, AC = DF, ∠E = 85° and ∠F = 40°. By which property are ∠ ABC and ∠ DEF congruent?

Options:

SAS property

ASA property

RHS property

SSS property

Correct Answer:

SAS property

Explanation:

In △ DEF

⇒ ∠D + ∠E + ∠F = 180

⇒ ∠D = 180 - 85 - 40 = \({55}^\circ\)

So, In △ABC and △DEF

⇒ AB = DE

⇒ AC = DF

⇒ and ∠A = ∠D = \({55}^\circ\)

Therefore, it is congruent by SAS rule.