Question

problem 7: find the measures of the angles of a triangle whose angles have measures of x, 2x, and 3x. also, what kind of triangle is it?

Explanation:

Step1: Use angle - sum property of a triangle

$x + 2x+3x = 180^{\circ}$

Step2: Combine like terms

$6x=180^{\circ}$

Step3: Solve for x

$x=\frac{180^{\circ}}{6}=30^{\circ}$

Step4: Find the measures of each angle

The first angle is $x = 30^{\circ}$, the second angle is $2x=2\times30^{\circ}=60^{\circ}$, and the third angle is $3x = 3\times30^{\circ}=90^{\circ}$. Since one of the angles is 90°, it is a right - triangle.

Answer:

The measures of the angles are 30°, 60°, 90°. It is a right - triangle.