Question

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

Answer 1

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

$x+y=90\°$

Here we have,

Let other angle be 'x'

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

Therefore we will have

$x+17x=90\\\\18x=90\\\\\therefore x=\dfrac{90}{18}=5$

Therefore measure of two complementary angles are

$x=5\°\\and\\17x=17\times 5=85\°$