182k views
3 votes
If the measures, in degrees, of the three angles of a triangle are x, x+10, and 2x-6, the triangle must be

1) Isosceles
2) Equilateral
3) Right
d) Scalene

User Ricsrock
by
8.8k points

1 Answer

2 votes

Final answer:

The triangle is scalene. Correct option is d.

Step-by-step explanation:

To determine the type of triangle based on the measures of its angles, we can set up an equation:

x + (x+10) + (2x-6) = 180

Simplifying, we have: 4x + 4 = 180

Then, we solve for x:

4x = 176

x = 44

Substituting x back into the given measures:

  • Angle 1: x = 44 degrees
  • Angle 2: x + 10 = 44 + 10 = 54 degrees
  • Angle 3: 2x - 6 = 2(44) - 6 = 82 degrees

Since all three angles have different measures, the triangle is Scalene.

User Dixkin
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories