Recall that two angles are complimentary if the sum measures 90. Find the measures of two complimentary angels if one angle is seventeen times the other angle

Respuesta :

Answer:

Therefore measure of two complementary angles are 5° and 85°.

Step-by-step explanation:

Given:

Complimentary Angles:

Two Angles are Complimentary when they add up to 90 degrees.  

Examples two angles (40° and 50°)

If 'x' and 'y' are complementary angles then

[tex]x+y=90\°[/tex]

Here we have,

Let other angle be 'x'

So one angle will be seventeen times other i.e ' 17x '

Therefore we will have

[tex]x+17x=90\\\\18x=90\\\\\therefore x=\dfrac{90}{18}=5[/tex]

Therefore measure of two complementary angles are

[tex]x=5\°\\and\\17x=17\times 5=85\°[/tex]

Answer: You answers are 85 and 5 degrees

Step-by-step explanation:

Step 1 : 17 + 1 = 18

Because you need to add all of the quantities of parts together.

Step 2 : 90/18 = 5

To find each part.

Step 3 : 5*17 = 85, 5*1 = 5

You do 5*17 to find out the 17 part.

You answers are 85 and 5 degrees