Question

two angles are consecutive exterior to one another. if the angles are in ratio 11:7. Then find the supplement of the larger angle.

Answer 1

If the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be 70 degrees.

The larger angle and the smaller angle are supplementary to each other since they are consecutive exterior to one another.

• Thus:

If the larger angle is x, therefore:

Ratio of Larger angle to smaller angle = 11:7

• Therefore:

11x + 7x = 180 degrees

• Solve for x

18x = 180

• Divide both sides by 18

x = 10

Larger angle = 11x = 11(10) = 110 degrees

Smaller angle = 7x = 7(10) = 70 degrees

The supplement of the larger angle, 110 degrees, is 70 degrees.

In summary, if the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be 70 degrees.

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