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Two angles are supplementary. One angle is 5 degrees less than four times the other. What is the measure of the smaller angle? What is the measure of the other angle?

Answer 1

James Atkins

Supplementary angles sum to #180^o#

Write the equation for the sum of the two angles ...

#x+(4x-5)=180#

Solve for x ...

#5x=185#

#x=37^o#

#180-37=143^0#

So, the smaller angle is #37^o# and the other angle is #143^o#

hope that helped

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Answer 2

Evelyn Arboleda

Let ( x ) represent the measure of the smaller angle.

Then, the measure of the larger angle can be represented as ( 4x - 5 ) since it is 5 degrees less than four times the measure of the smaller angle.

Since the two angles are supplementary, their measures add up to 180 degrees.

Now, you can set up an equation:

[ x + (4x - 5) = 180 ]

Solve for ( x ) to find the measure of the smaller angle, then find the measure of the larger angle using the expression ( 4x - 5 ).

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Answer 3

Aurora Ayala

The measure of the smaller angle is 65 degrees, and the measure of the other angle is 115 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.