Question

Find out the correct statement from the below diagram was given with the appropriate reason why.

Answer 1

Answer:

b

Step-by-step explanation:

this is because ASP of a triangle says that measure of all the angles if added gives 180° in a triangle

Answer 2

Answer:

(a) ∆ABC is congruent to ∆FED

Step-by-step explanation:

In triangle ABC,

angle A + angle B + angle C = 180° (Angle Sum Property)

$70 + 50 + c = 180 \\ = > 120 + c = 180 \\ = > c = 180 - 120 = 60$

Therefore, angle C = 60°.

In triangle DEF,

angle D + angle E + angle F = 180° ( Angle Sum Property)

$60 + e + 50 = 180 \\ = > 110 + e = 180 \\ = > e = 180 - 110 = 70$

Therefore, angle E = 70°.

Hence, ∆ABC is congruent to ∆FED. Thus, you option is (A).

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