Question

1. doug needs to build an outside canopy for his daughters playground. the angles in a diagram are listed as 2x, 3x, and 4x. what is the value of x? a. x = 10° b. x = 18° c. x = 20° d. x = 15°

Explanation:

Step1: Sum of angles

Assume the angles are in a triangle (since no other context, sum of interior - angles of a triangle is 180°). So, 2x + 3x+4x = 180°.
$$2x + 3x+4x=180^{\circ}$$

Step2: Combine like - terms

Combine the x - terms on the left - hand side. (2 + 3+4)x=9x. So, 9x = 180°.
$$9x = 180^{\circ}$$

Step3: Solve for x

Divide both sides of the equation by 9. $x=\frac{180^{\circ}}{9}=20^{\circ}$.
$$x = 20^{\circ}$$

Answer:

C. $x = 20^{\circ}$