Question

#1: Find the value of X. (GEOMETRY)

Answer 1

Answer:

x = 14

Step-by-step explanation:

1. We know that all angle measures in a triangle sum to 180 degrees.

• This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.

2. (Solving)

Step 1: Combine like terms.

• $(7x+5x+2x)+(-11-2-3)=180$
• $14x -16 = 180$

Step 2: Add 16 to both sides.

• $14x - 16 + 16 = 180 + 16$
• $14x = 196$

Step 3: Divide both sides by 14.

• $\frac{14x}{14}=\frac{196}{14}$
• $x = 14$

Step 2: Check if solution is correct.

• $7(14)-11+5(14)-2+2(14)-3=180$
• $98-11+70-2+28-3=180$
• $180=180$

Therefore, the answer is x = 14.