Question

The supplement of an angle is one fifth of itself. Determine the larger angle.

Answer 1

Answer:

A is 150 degrees

Step-by-step explanation:

let the two angles A and 180-A.

$A=5(180 - A)\\6A=5\times 180\\A=5\times 30\\A=150$

Also consider other possibility:

$5A=180-A\\6A=180\\A=30$

150 is larger.

(You do not need to necessarily check the larger of the two as the two will be supplements and thus if one is more than 90 it will be largest )

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Answer 2

Answer:

A is 150 degrees

Step-by-step explanation:

let the two angles A and 180-A.

\begin{gathered}A=5(180 - A)\\6A=5\times 180\\A=5\times 30\\A=150\end{gathered}

A=5(180−A)

6A=5×180

A=5×30

A=150

Also consider other possibility:

\begin{gathered}5A=180-A\\6A=180\\A=30\end{gathered}

5A=180−A

6A=180

A=30

150 is larger.

(You do not need to necessarily check the larger of the two as the two will be supplements and thus if one is more than 90 it will be largest )

if this answer helped you, please consider marking it brilliant .