Question

Lines m and n are parallel, as shown in the diagram below. What are the measures of angles A and B?

Answer 1

Answer:

a = 55° and b = 60°

Step-by-step explanation:

→ Remember 2 key points about angles

• Angles in a triangle add up to 180°

• Alternate angles are equal

→ Angle a is alternate to 55° so using the 2nd point,

a = 55°

→ Remember the fact that angle in a triangle add up to 180°

55°  + 65° + b = 180°

→ Collect the whole numbers

120° + b = 180°

→ Minus 120° from both sides to isolate b

b = 60°

Answer 2

Step-by-step explanation:

since m and n are parallel so the right side of b are equal 65degree. 180-55-65 to get B is 60 degree. After that, 180-60-65 will get the A is 55degree