Question

c)

angle | reason
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Explanation:

Identify corresponding angles

Using the Corresponding Angles Theorem knowledge point

$$ \angle 1 = 68^\circ $$

Apply isosceles triangle properties

The triangle has two congruent sides marked with tick marks.
The base angles opposite to these congruent sides must be equal.
Therefore, the other base angle is also equal to \(\angle 1\):

$$ \text{Base Angle} = 68^\circ $$

Calculate the vertex angle

The interior angles of a triangle sum to \(180^\circ\).

$$ \angle 2 + 68^\circ + 68^\circ = 180^\circ $$

$$ \angle 2 + 136^\circ = 180^\circ $$

$$ \angle 2 = 44^\circ $$

Answer:

Angle	Reason
\(\angle 2 = 44^\circ\)	Isosceles triangle base angles are equal, and triangle angle sum is \(180^\circ\)