Question

The measure of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles? What is the solution of each proportion?

A. 36° and 144°

B. 15° and 75°

C. 30° and 150°

D. 18° and 72°

Answer 1

i think it is C

Answer 2

but i got it marked wrong could it be any of the other choices?

Answer 3

ok...
so we have \[36*5\neq144\]
\[15*5=75\] ^ true
\[30*5=150\]
^true
\[18*5\neq72\]

Answer 4

it seems as if it would be B. because:

\(\frac{1}{5}\)=\(\frac{15}{75}\)

Answer 5

this is the proportion that represents your answer.

Answer 6

could it also be C \[\frac{ 1 }{ 5 }=\frac{ 30 }{ 150 }\]

Answer 7

5*30=150=1
150=150

Answer 8

50 and 130 are not complementary.

Answer 9

ah ok ty @radar

Answer 10

Let one angle be x
Other angle = 5x
Given, x + 5x = 90
6x = 90
x = 15
Other angle is 75