Question

recall that two angles are comlementary if the sum of their measures is 90. find the measures of two complementary angles if one angle is twenty-nine times the other angle.

Answer 1

Answer:

First angle is 3 degree

Second angle is 87 degree

Step-by-step explanation:

Let's assume

second angle is x

we are given

one angle is twenty-nine times the other angle

so, first angle is

$=29x$

we know that these two angles are complementary

so, the sum of their measures is 90

First angle + second angle =90

$x+29x=90$

$30x=90$

$x=3$

now, we can find second angle

Second angle is

$=29\times 3$

$=87$

So,

First angle is 3 degree

Second angle is 87 degree