![\large\underline{\bf\red{Solution:-}}](https://img.qammunity.org/2021/formulas/chemistry/high-school/ezmqarjsbb5og85s8bax72qk0cosrswkl0.png)
Given : ∠1 + ∠2 = 90° ( complementary )
To Find : The value of x & the two angles .
And , m∠1 = ( 8x - 6 ) ° & m∠2 = ( 14x + 8 )° .
On adding the two Angles their sum will be 90 ° since they are two complementary angles .
⇒ ( 8x - 6 )° + ( 14x + 8 )° = 90° .
⇒ 22x + 2° = 90° .
⇒ 22x = (90 - 2)°
⇒ 22x = 88° .
⇒ x = 88°/22 .
⇒ x = 4° .
Hence the value of x is 4° .
So ,
- First angle = 8x - 6 = 8×4-6=32-6=26°
- Second angle = 14x +8 = 14(4)+8 = 56+8 = 64° .