Question

The measure of angle, if 4 times it's supplement is 104 more than 8 times it's complement is? With steps

Answer 1

Answer:

26

Step-by-step explanation:

4(180-x)=8(90-x)+104

720-4x=720-8x+104

-4x+8x=104

4x=104

x=104/4

x=26

Answer 2

The measure of the angle is 26°.

Given:-

4 times the supplement = 8 times the complement + 104

To Find:-

The measure of the angle.

Solution:-

We can easily calculate the measure of the angle by using the following procedure.

As

4 times the supplement = 8 times the complement + 104

Let the angle be x

So, it's compliment = (90-x)

and it's suppliment = (180-x)

Now, According to the question

4 times the supplement = 8 times the complement + 104

$4(180 - x) = 8(90 - x) + 104$

$4 \times 180 - 4x = (8 \times 90 - 8x) + 104$

$720 - 4x = 720 - 8x + 104$

$720 - 4x = 824 - 8x$

$8x - 4x = 824 - 720$

$4x = 104$

$x = \frac{104}{4}$

$x = 26$

Hence, The measure of the angle is 26°.

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