Question

1. in a given triangle, the measurement of each angle is (2x+10), (x+20), and (x+30). what is the measurement of the smallest angle?

a. 30
b. 40
c. 50
d. 60

Explanation:

Step1: Sum angles to 180 degrees

$$(2x+10)+(x+20)+(x+30)=180$$

Step2: Simplify the equation

$$4x + 60 = 180$$

Step3: Solve for x

$$4x=120 \implies x=30$$

Step4: Calculate each angle

• $2x+10=2(30)+10=70$
• $x+20=30+20=50$
• $x+30=30+30=60$

Step5: Identify smallest angle

Compare 50, 60, 70

Answer:

C. 50