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.
If the larger angle is x, therefore:
Ratio of Larger angle to smaller angle = 11:7
11x + 7x = 180 degrees
18x = 180
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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