Question

in the figure below, a line intersects two parallel lines. Fill in the missing angle measurements and explain how you solved for the measurement by naming the angle relationship with a second angle that helped you.​

Answer 1

The value of the angle measures as required is;

• <a = 125°
• <b = 55°
• <c = 125°
• <e = 125°
• <f = 55°
• <h = 55°

Vertically opposite angles and Sum of angles on a straight line

Vertically opposite angles otherwise referred to as X-angles are angles opposite each another at the point of intersection of two line and hence, are equal.

According to line geometry, the sum of angles on a straight line is; 180°

The statements above provide premises for the values supplied in the aforementioned answers.

Read more on vertically opposite angles;

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