Question

The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram?

mAngleB + mAngleC + 55° = 180°
mAngleA + 60° + 55° = 180°
mAngleC = 55°
mAngleA = 55°

Answer 1

The answer to your problem is, B. mAngleA + 60° + 55° = 180°

Explanation:

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Let the triangle be represented as ABC:

Now , the first measure of angle = 55

The second measure of angle = 60

The angle of the first ∠A = 180

• Substituting the values in the equation , we get
• For a triangle , ∠A + ∠B + ∠C = 180°
• So , sum of the angles of a triangle mAngleA + 60° + 55° = 180°

Thus the answer to your problem is, B. mAngleA + 60° + 55° = 180°