Question

Examine the diagram.

A triangle has angles A, 60 degrees, 55 degrees. A line is at the top of the triangle and forms angles B, C, and 65 degrees. Angle C is opposite to angle with measure 60 degrees.

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

Answer: its b

Step-by-step explanation: on edge.

Answer 2

• mAngleA + 60° + 55° = 180°

Explanation:

As two angles of the triangle are 60° and 55°, the measure of ∠A is:

• 180° - (60° + 55°) = 65°

So the angles C and B measure 60° and 55°.

∠C is opposite to 60°, so is 60° as well, therefore m∠B = 55°

Statements:

mAngleB + mAngleC + 55° = 180°

• Incorrect, it gives 170°

mAngleA + 60° + 55° = 180°

• Correct as mAngleA is 65°

mAngleC = 55°

• Incorrect, it is 60°

mAngleA = 55°

• Incorrect, it is 65°