Two lines intersect so that one of the four angles is 3 times an adjacent angle.
Find the measure (in degrees) of the larger of these two adjacent angles.

Question

Two lines intersect so that one of the four angles is 3 times an adjacent angle. Find the measure (in degrees) of the larger of these two adjacent angles.

Accepted Answer

135. Adjacent angles at the intersection form a linear pair summing to 180. If one is x and the other 3x: x + 3x = 180, 4x = 180, x = 45. Larger = 3x = 135°.

Two lines intersect so that one of the four angles is 3 times an adjacent angle.
Find the measure (in degrees) of the larger of these two adjacent angles.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Geometrical Terms and Definitions practice

Two lines intersect so that one of the four angles is 3 times an adjacent angle.Find the measure (in degrees) of the larger of these two adjacent angles.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Geometrical Terms and Definitions practice

Two lines intersect so that one of the four angles is 3 times an adjacent angle.
Find the measure (in degrees) of the larger of these two adjacent angles.