HomeTestsSearchRankProfile
mediumMCQSSC CGL2026Quantitative Aptitude
1 mark

Given that triangle ABC is congruent to triangle DEF. If AC=11 m, ED=6 m, EF=15 m, ∠FDE=85

and ∠ABC=55

, then the perimeter of triangle ABC and ∠EFD are, respectively:

  1. A
    35 m,45
  2. B
    32 m,40
  3. C
    30 m,50
  4. D
    32 m,45

Solution & Step-by-step Explanation

Since △ABC≅△DEF, their corresponding sides and angles are equal:
AB=DE=6 m

BC=EF=15 m

AC=DF=11 m

Perimeter of △ABC:

Perimeter=AB+BC+AC=6+15+11=32 m
For the angles:

∠CAB=∠FDE=85



∠ABC=∠DEF=55



In △DEF, the sum of angles is 180

:

∠EFD=180

−(∠FDE+∠DEF)
∠EFD=180

−(85

+55

)=180

−140

=40


Thus, the perimeter is 32 m and ∠EFD=40

.

Practice this question

Try it yourself before checking the explanation above.

Given that triangle ABC is congruent to triangle DEF. If AC=11 m, ED=6 m, EF=15 m, ∠FDE=85

and ∠ABC=55

, then the perimeter of triangle ABC and ∠EFD are, respectively:
A
35 m,45
B
32 m,40
C
30 m,50
D
32 m,45

Share This Question

Related Questions

Ready for a Full Test?

Practice with timed mock tests and track your performance across Quantitative Aptitude.

Discussion