Math, asked by naif99, 5 hours ago

It is given that triangle ABC ~= triangle FDE and AB= 5 cm angle b= 40 degrees and angle A= 80 degrees

Answers

Answered by ItzzTwinklingStar
39

Correct Question :

it is given that triangle ABC congruent it triangle FDE and AB = 5cm , angle B is 40° and angle A is 80°.Then find the value of angle E

Given:

  • It is given that triangle ABC congruent it triangle FDE and AB = 5cm , angle B is 40°40 and angle A is 80°80

To find:

  • find the value of angle E

Solution:

\\

In a triangle abc, sum of angles of a triangle = 180°

:\implies \tt\angle A + \angle B + \angle C∠A+∠B+∠C = 180  \degree\\\\

:\implies \tt80 + 40 + \angle C∠C = 180\\\\

 :\implies\tt\angle C = 60^\circ∠C=60 \\\\

Since the triangles are congruent ABC = FDE

\\

</p><p> :\implies\tt\angle C = \angle E.∠C=∠E.</p><p>\\\\

So, the angle of C is equal to E.

\\

Result:

\\

The angle of E is 60° 60

Answered by ItzAdityaKarn
1

Correct Question :

it is given that triangle ABC congruent it triangle FDE and AB = 5cm , angle B is 40° and angle A is 80°.Then find the value of angle E

☆ Given:

It is given that triangle ABC congruent it triangle FDE and AB = 5cm , angle B is 40 and angle A is 80°

◇ To find:

find the value of angle E

➡️ Solution:

In a triangle abc, sum of angles of a triangle = 180°

Angle A + Angle B + Angle C = 180°

80° + 40° + Angle C = 180°

Angle C = 180° - 120° = 60°

Since the triangles are congruent ABC = FDE

So, Angle A = Angle F

Angle B = Angle D

Angle C = Angle E

The angle of E is 60° .

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