If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Value of X is 9 and Angle 6 is 79°
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
Since, angle 1 and angle 4 are vertically opposite angles . Hence, these are equal.
∠1 = ∠4 = 11x + 2
Similarly, ∠6 and ∠7 are vertically opposite angles.
Thus, ∠6 = ∠7 = 8x + 7
If two parallel lines are cut by a transversal, then the sum of interior angles on one side is equal to 180 degree.
Therefore, ∠4 + ∠6 = 180
11x + 2 + 8x + 7 = 180
19x + 9 = 180
19x = 171
x = 9
Value of angle 6 = value of angle 7
= 8x + 7
= 8 (9) + 7
= 79 Degree
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