How large is an angle whose supplement is three times its complement? the measure of the angle is?

Measure of the angle is 45°.

Step-by-step explanation:

Let the measurement of an angle = x

Supplement of the angle x will be = (180° - x)

Complement of the angle x = (90° - x)

Now as per statement given in the question we form the equation.

"Supplement of the angle is three times its complement"

180 - x = 3(90 - x)

180 - x = 270 - 3x

3x - x = 270 - 180 = 90

2x = 90

x = 45°

Therefore measure of the angle will be 45°.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

practice. practice. practice.