Question

Find the angle which is equal to : (1) it's complement (2) 4/5its complement (3)2/3 of its comlement​

Answer 1

Step-by-step explanation:

Let the angle be 'a', Let the complementary angle be 'b'(a+b=90°)---(property of

complementary angles)

1) a=b

(A/C)a+b=90°, a+a=90°,2a=90°,a=45°

2)(4/5)a=b

(A/C) a+(4a/5)=90°, (5a+4a)/5=90°,(9a/5)=90°,

a=(90°×(5/9),a=50°

3)(2/3)a=b

(A/C) a+(2a/3)=90°, (3a+2a)/3=90°, (5a/3)=90°,

a=90°×(3/5), a=54°