177k views
2 votes
Find the measures of the angles of a triangle whose angles have measures of x, x + 30, and x - 30. What kind of triangle is it?

Find the measures of the angles of a triangle whose angles have measures of x, x + 30, and-example-1

2 Answers

3 votes

Final answer:

The measures of the angles of the triangle are 60 degrees, 90 degrees, and 30 degrees. It is a scalene triangle.

Step-by-step explanation:

A triangle has three angles that add up to 180 degrees. In this case, the angles of the triangle are x, x + 30, and x - 30. We can set up an equation to solve for x:

x + (x + 30) + (x - 30) = 180

Combining like terms:

3x = 180

Dividing both sides by 3:

x = 60

So the measures of the angles are:

  1. x = 60 degrees
  2. x + 30 = 90 degrees
  3. x - 30 = 30 degrees

Since all three angles are different, this is an example of a scalene triangle.

User Najim El Guennouni
by
5.6k points
6 votes

Answer:

hello : answer : C

Step-by-step explanation:

the sum measures of the angles of a triangle is 180°

so : x + x +30 +x -30 = 180°

3x = 180°

x = 180°/ 3 = 60°

measures / 60° , 90° , 30°

User Bruno Mello
by
5.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.