Question

Two complementary angles are in the ratio 4 : 5. Find the angles. Find the measure of an angle, if seven times its complement is 10⁰ less than three times its supplement​

Answer 1

Answer:

Let the required angle be x°

Complementary angle with respect to x ° is (90-x)°

Supplementary angle with respect to x° is (180-x)°

Given that ,

$7(90 - x) = 3(180 - x) - 10$

$630 - 7x = 540 - 3x - 10$

$630 - 7x = 530 - 3x$

$630 - 530 = - 3x + 7x$

$100 = 4x$

$x = \frac{ \cancel100}{ \cancel4}$

$x = 25°$

HOPE IT HELPS✌