Correct option is (B) 91°
Supplementary angle to \(89^\circ\) \(=180^\circ-89^\circ=91^\circ.\)
\((\because\) Sum of supplementary angles is \(180^\circ)\)
Correct option is (B) 30°
Let the angle be x.
Then its complementary angle is 2x.
\(\therefore\) x+2x = \(90^\circ\)
\(\Rightarrow\) 3x = \(90^\circ\)
\(\Rightarrow\) x = \(\frac{90^\circ}3=30^\circ\)
Hence, the required angle is \(30^\circ.\)
Correct option is (B) 180°
Conjugate angle of \(25^\circ=360^\circ-25^\circ=335^\circ\)
\((\because\) Sum of two conjugate angles is \(360^\circ)\)
And supplementary angle of \(25^\circ=180^\circ-25^\circ=155^\circ\)
\(\therefore\) Difference between them \(=335^\circ-155^\circ=180^\circ\)
Correct option is (A) 135°
Let the required angle be x.
\(\therefore\) Its supplementary angle is \(180^\circ-x.\)
Now, complementary angle of \(180^\circ-x\) is \(90^\circ-(180^\circ-x)\)
\(=x-90^\circ\)
According to given condition,
\(180^\circ-x=x-90^\circ\)
\(\Rightarrow\) 2x = \(180^\circ+90^\circ=270^\circ\)
\(\Rightarrow\) x = \(\frac{270^\circ}2=135^\circ\)
