The angles of a triangle, when each is increased by 10°, would total 210°.
What was the largest original angle if the original angles are in the ratio 1 : 2 : 3?

Question

The angles of a triangle, when each is increased by 10°, would total 210°. What was the largest original angle if the original angles are in the ratio 1 : 2 : 3?

Accepted Answer

90. Increasing each by 10 adds 30°, so original sum = 210 - 30 = 180 deg (consistent). Ratio 1:2:3 of 180: parts sum 6, each part 30°. Largest = 3 x 30 = 90°.

The angles of a triangle, when each is increased by 10°, would total 210°.
What was the largest original angle if the original angles are in the ratio 1 : 2 : 3?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum of a Triangle practice

The angles of a triangle, when each is increased by 10°, would total 210°.What was the largest original angle if the original angles are in the ratio 1 : 2 : 3?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Angle Sum of a Triangle practice

The angles of a triangle, when each is increased by 10°, would total 210°.
What was the largest original angle if the original angles are in the ratio 1 : 2 : 3?