Question

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

40 degrees
23 degrees
44 degrees
54 degrees
Or none of the above

Answer 1

40 degrees

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.