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Find the values of a, b and c.

Find the values of a, b and c.-example-1

1 Answer

1 vote

Look at the picture.

Corresponding Angles are equal.

Alternate Angles are equal.

Consecutive Angles add up to 180°.

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3a and 45 are Consecutive Angles. Therefore

3a + 45 = 180 |subtract 45 from both sides

3a = 135 |divide both sides by 3

a = 45.

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(2c - 1) and 45 are Corresponding Angles. Therefore

2c - 1 = 45 |add 1 to both sides

2c = 46 |divide both sides by 2

c = 23.

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3a and (12b + 3) are Alternate Angles. Therefore

3(45) = 12b + 3

135 = 12b + 3 |subtract 3 from both sides

132 = 12b |divide both sides by 12

b = 11.

User Gomons
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