Angle F and Angle G are supplementary. The measure of Angle G is six and one half times the measure of Angle F. What is the measure of Angle F?

Answer 1

#F=24#

If #F# and #G# are supplementary, then #F+G=180#.
If #G# is #6.5# times the size of #F#, then #G=6.5F#
So, #F+G=180#
#F+6.5F=180#, since #G=6.5F#
#7.5F=180# collect like terms
#F=24# divide both sides by #7.5#
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Answer 2

Let the measure of Angle F be ( x ) degrees.

Since Angle G is ( 6.5 ) times the measure of Angle F, the measure of Angle G is ( 6.5x ) degrees.

Since Angle F and Angle G are supplementary, their measures add up to ( 180 ) degrees.

So, we have the equation: [ x + 6.5x = 180 ]

Solving for ( x ): [ 7.5x = 180 ] [ x = \frac{180}{7.5} ] [ x = 24 ]

Therefore, the measure of Angle F is ( 24 ) degrees.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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