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AlexFokin [52]
3 years ago
14

What is the measure of an angle if it is 260 degrees less than six times its own complement?

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Answer:

40 degrees

Step-by-step explanation:

Complementary angles have a sum of 90.

y = 90 - x

The angle is 260 degrees less than six times its complement.

y = 6x - 260

90 - x = 6x - 260

350 - x = 6x

350 = 7x

50 = x

This is the measure of the complement.

y = 90 - x

y = 90 - 50

y = 40

This is the measure of the first angle.

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