Question

What is the value of y?

Y
Y
60
O A. 120°
B. 60°
C. 40°
O D. 30°

Answer 1

B. 60°

Explanation:

1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.

2. (Solving)

Step 1: Simplify both sides of the equation.

• 
  `(y+y)+(60)=180`
• 
  `2y + 60 = 180`

Step 2: Subtract 60 from both sides.

• 
  `2y + 60 - 60 = 180 - 60`
• 
  `2y = 120`

Step 3: Divide both sides by 2.

• 
  `(2y)/(2)=(120)/(2)`
• 
  `y = 60`

Step 4: Check if solution is correct.

• 
  `(60)+(60)+60 = 180`
• 
  `120 + 60 = 180`
• 
  `180 = 180`

Therefore, the answer is B. 60°.