Question

find the two complementary angles differ by 44 degree

Answer 1

Let One angle be = x ° (let it be bigger)

Another be = 90 °- x °

( As they were complementary)

Now, if they differ by 44

means,

x °- ( 90 °- x° ) = 44 °

=> x °- 90 ° + x ° = 44 °

=> 2x ° = 44 ° + 90 °

=> x ° = 134 °/ 2

=> x° = 67 °

Hence, required angles be equals to :

67 ° and 90 ° - 67 ° = 23 °

Answer 2

$<u><i>$Let the first angle be x

Let the second angle be 90 - x

Measure of complementary angles = 90°


A/q,

x - (90 - x) = 44

x - 90 + x = 44

2x - 90 = 44

2x = 44 + 90

2x = 134

x = $\frac{134}{2}$

x = 67


1st angle => x => 67°

2nd angle => 90 - x => 90 - 67 => 23°



$\therefore{}$ The two angles are of 67° and 23°