Question

Examine the diagram.

Parallel lines a and b are crossed by transversal t to create 8 angles. Clockwise from top left, the angles are blank, 60.75 degrees, blank, blank; 2, 1, blank, blank.

What are the measures of angle 1 and angle 2?

The mAngle1is
degrees.
The mAngle2 is
degrees.

Answer 1

The measure of m∠1 and m∠2 are 60. 75° and 119. 25° respectively.

How to determine the angles

Note that corresponding angle are equal

m∠ 1 = 60. 75°; this is so because corresponding angles are equal

m∠1 and m∠2 are on a straight line

Also note that angles on a straight line sum up to 180°

m∠1 + m∠2 = 180°

60. 75° + m∠2 = 180°

Make m∠2 subject of formula, we have

m∠2 = 180° - 60. 75°

m∠2 = 119. 25°

Thus, the measure of m∠1 and m∠2 are 60. 75° and 119. 25° respectively.

Learn more about corresponding angles here:

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