Question

The three angles of a triangle have

measures of 56°, (2x + 4)º, and xº
What are the measures of the three
angles of the triangle? (TEK 8.8D)
A. 56°, 80°, 44°
B. 56°, 90°, 34°
C. 56°, 84°, 40°
D. 56°, 60°, 64°

Answer 1

56°, 84°, 40°

Explanation:

The three angles of triangles have measures of 56°, (2x + 4)º, and xº.

We need to find the measures of the three angles of the triangle.

We know that, the sum of angles of triangle is equal to 180º. Using this property we get :

56°+ (2x + 4)º + xº =180º

Solving for x.

60 + 3x = 180

3x = 120

x = 40º

Other angle, = 2x+4

= 2(40)+4

= 80+4

= 84º

So, the measures of the three angles of the triangle are 56°, 84°, 40°. Hence, the correct option is (c).