Question

In the given figure, if m is parallel to n and angle a : angle b = 2:3 , then find the measure of angle n. ​

Answer 1

Answer:

108°

Step-by-step explanation:

Since 'm' and 'n' are parallel, and the ratio of angles 'A' and 'B' is given and they form a Linear Pair.

Let angle 'A' and 'B' be 2x and 3x respectively.

Angle 'A'+ Angle 'B'= 180° (Linear Pair)

2x+3x=180°

5x= 180°

x = 180°/5

x= 36°

Therefore, Angle 'A'= 2x = 2(36°) = 72°

Angle 'B'= 3x = 3(36°) = 108°

Since 'm' and 'n'are parallel, the alternate exterior angles will be equal.

Therefore, Angle 'N'= Angle'B' = 108° (Alternate Exterior Angles)