Question

problem 8: 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 with respect to its angles? after you pick your answer press go. a. 45, 75, 15; acute b. 90, 120, 60; obtuse c. 60, 90, 30; right d. 45, 90, 45; right e. 60, 60, 60; acute

Explanation:

Step1: Use angle - sum property of triangle

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

Step2: Simplify the left - hand side

$3x=180$

Step3: Solve for x

$x = 60$

Step4: Find the angles

$x=60$, $x + 30=90$, $x - 30=30$

Step5: Classify the triangle

Since one angle is 90 degrees, it is a right - triangle.

Answer:

C. 60, 90, 30; right