Question

the correct answer is 11 but I want step by step explination.
please answer it correctly I will report your answer.​

Answer 1

Step-by-step explanation:

✯Theorem

Sum of interior angle is equal to the opposite exterior angle .

✯According to the question

(7x-3°) + (4x-7) = 111

11x-10 = 111

11x= 111+10

11x = 121

x = 121/11 = 11

★ ➪ Answer = 11

Answer 2

Answer:

We know that the exterior angle of a triangle is equal to the sum of the Opposite two interior angles. In this case opposite two interior angles are (7x-3°) and (4x-7°) respectively.

Now angle QRS=111° is an exterior angle.

Therefore, angle QRS= Angle PQR + Angle QPR

=» 111° = (7x-3°) + (4x - 7°)

=» 111° = 7x + 4x -3°-7°

=» 111° = 11x - 10°

=» 111°+10° = 11x

=» 11x = 121°

=» x = (121°/11)

=» x = 11°

Therefore the correct option is (c) 11°.