A surveyor finds that in a triangular field, the difference between the largest and smallest angle is 50°, and the middle angle is 60°.
Find the largest angle.

Question

A surveyor finds that in a triangular field, the difference between the largest and smallest angle is 50°, and the middle angle is 60°. Find the largest angle.

Accepted Answer

85. The three angles sum to 180° with the middle = 60, so the smallest + largest = 120. With largest - smallest = 50, adding: 2 x largest = 170, largest = 85 deg (smallest = 35°).

A surveyor finds that in a triangular field, the difference between the largest and smallest angle is 50°, and the middle angle is 60°.
Find the largest angle.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Angle Sum Property practice

A surveyor finds that in a triangular field, the difference between the largest and smallest angle is 50°, and the middle angle is 60°.Find the largest angle.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Angle Sum Property practice

A surveyor finds that in a triangular field, the difference between the largest and smallest angle is 50°, and the middle angle is 60°.
Find the largest angle.