91Ó°ÊÓ

Use the diagram given for angles as shown below

Mark the angle AOCin the given figure as shown

If point B lies in the interior of $∠AOC$it cannot be concluded that $m∠1=m∠2$.

So, the answer is No.

Point B lies in the interior of angle AOC.

Points the angle AOC as shown in the figure below

Since point B lies in the interior of angle AOC, therefore find the angle AOC from the figure as follows:

$\begin{array}{c}m∠AOC=m∠AOB+m∠COB\\ =m∠1+m∠2\end{array}$

Thus, the answer is Yes.

Points the angles as shown in figure

Use the part (b) as shown that point B lies in the interior of angle AOC therefore following will hold

$\begin{array}{c}m∠AOC=m∠AOB+m∠COB\\ =m∠1+m∠2\end{array}$

Since $m∠AOC=m∠1+m∠2$therefore $m∠AOC>m∠1$.

Thus, the answer is Yes.

Points the angles as AOC and 2 as shown in figure

Use the part (b) as shown that point B lies in the interior of angle AOC therefore following will hold

$\begin{array}{c}m∠AOC=m∠AOB+m∠COB\\ =m∠1+m∠2\end{array}$

Since $m∠AOC=m∠1+m∠2$therefore $m∠AOC>m∠2$.

Thus, the answer is Yes.

Points the angles as AOC, 1, and 2 as shown in figure

Since point B lies in the interior of angle AOC therefore $m∠AOC=m∠1+m∠2$from the figure.

Since $m∠AOC=m∠1+m∠2$therefore it cannot be deduced that $m∠1>m∠2$.

Thus, the answer is No.

Points the angle AOC as shown in the figure below

Point B lies in the interior of angle AOC as shown and given in the question.

Since point B lies in the interior of angle AOC therefore it cannot be deduced that $m∠AOC>90$.

Thus, the answer is No.