How many triangles are there whose three angles are all whole numbers of degrees, each a multiple of 30°, and each at least 30 deg (order of the three angles does not matter)? List the angle-sums to check: each set must add to 180°.

Question

Accepted Answer

3. Angles are multiples of 30 (30, 60, 90, 120) summing to 180. Valid unordered sets: 30, 30, 120, 30, 60, 90, 60, 60, 60. That is 3 triangles.

How many triangles are there whose three angles are all whole numbers of degrees, each a multiple of 30°, and each at least 30 deg (order of the three angles does not matter)?
List the angle-sums to check: each set must add to 180°.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Angle Sum Property practice

How many triangles are there whose three angles are all whole numbers of degrees, each a multiple of 30°, and each at least 30 deg (order of the three angles does not matter)?List the angle-sums to check: each set must add to 180°.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Angle Sum Property practice

How many triangles are there whose three angles are all whole numbers of degrees, each a multiple of 30°, and each at least 30 deg (order of the three angles does not matter)?
List the angle-sums to check: each set must add to 180°.