Question

In the figrue what must be the value of x to prove ∆ABC congruent to ∆ DEC by SAS ?

Answer 1

In the given figure,



Given angle A = 2x + 15
angle D = 5x - 60

In order to be congruent by SAS, angle A should be equal to angle D

=> angle A = angle D

=> 2x + 15 = 5x - 60

=> 60 + 15 = 5x - 2x

=> 3x = 75

=> x = 75/3

=> x = 25

Hence, x should be 25

Verification :-

angle A = 2x + 15

= 2(25) + 15

= 50 + 15

= 65

angle D = 5x - 60

= 5(25) - 60

= 125 - 60

= 65

Since both are equal, the answer is correct ✓

x = 25°

Answer 2

if the both triangles are congruent
so

$angle A = angle D$

$2x+15. =5x -60$

$2x - 5x = -60-15$

$-3x = - 75$

$X = -75/-3 = 25$

so the value of X = 25

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