Question

What is the value of n

Answer 1

The correct option is (D) 69

Explanation:

n = (interior angle of 131° + interior angle of 160°)

From the figure we can see that

The interior angle of angle 131° = 180 - 131 = 49° because the sun of the two angles must be 180 for a straight line

Similarly

The interior angle of angle 160° = 180 - 160 = 20° because the sun of the two angles must be 180 for a straight line

Now the sum of interior angles of a triangles is 180 so n = 49° + 20° = 69°

Answer 2

The correct answer is option D. 69°

Explanation:

Points to remember

1). The sum of angles in a linear pair is 180°

2). In a triangle sum of two angles are equal to the exterior angle of third angle

From the figure we can see a triangle in which two exterior angles area given.

To find the value of n

from figure we get,

n = (interior angle of 131° + interior angle of 160°)

interior angle of 131° = 180 - 131 = 49°

interior angle of 160° = 180 - 160 = 20°

n = 49° + 20° = 69°

Therefore the correct answer is option D. 69°