91Ó°ÊÓ

The supplementary angles are the angles whose sum is $\mathbf{180}\mathbf{°}$.

The given diagram is:

From the given diagram it can be concluded that:

$∠MLP=40,∠QLP=60\mathrm{and}∠LQP=80$

The sum of the angles$∠QLP$ and$∠MLP$ is $∠QLP+∠MLP$.

Therefore,

$$\begin{gathered} ∠QLP+∠MLP=60+40 \\ =100 \end{gathered}$$

Therefore, the sum of the angles$∠QLP$ and$∠MLP$ is 100.

From the diagram it can be noticed that:

$∠MLQ=∠QLP+∠MLP$

Therefore,

$$\begin{gathered} ∠MLQ=∠QLP+∠MLP \\ =100 \end{gathered}$$

Therefore, the value of the angle$∠MLQ$ is 100.

The sum of the angles$∠MLQ$ and$∠LQP$ is $∠MLQ+∠LQP$.

Therefore,

$$\begin{gathered} ∠MLQ+∠LQP=100+80 \\ =180 \end{gathered}$$

Therefore, the sum of the angles$∠MLQ$ and$∠LQP$ is 180.

Therefore, the angles$∠MLQ$ and$∠LQP$ are supplementary angles.

As, the angles$∠MLQ$ and$∠LQP$ are supplementary angles.

Therefore, the supplement of$∠MLQ$ is $∠LQP$.

The supplementary angles are the angles whose sum is $\mathbf{180}\mathbf{°}$.

The given diagram is:

From the given diagram it can be concluded that:

$∠LMP=90$,$∠MPL=50$ and$∠QPL=40$

The sum of the angles$∠QPL$ and$∠MPL$ is $∠QPL+∠MPL$.

Therefore,

$$\begin{gathered} ∠QPL+∠MPL=40+50 \\ =90 \end{gathered}$$

Therefore, the sum of the angles$∠QPL$ and$∠MPL$ is 90.

From the diagram it can be noticed that:

$∠MPQ=∠QPL+∠MPL$

Therefore,

$$\begin{gathered} ∠MPQ=∠QPL+∠MPL \\ =90 \end{gathered}$$

Therefore, the value of the angle$∠MPQ$ is 90.

The sum of the angles$∠MPQ$ and$∠LMP$ is $∠MPQ+∠LMP$.

Therefore,

$$\begin{gathered} ∠MPQ+∠LMP=90+90 \\ =180 \end{gathered}$$

Therefore, the sum of the angles$∠MPQ$ and$∠LMP$ is 180.

Therefore, the angles$∠MPQ$ and$∠LMP$ are supplementary angles.

As, the angles $∠MPQ$and $∠LMP$are supplementary angles.

Therefore, another pair of supplementary angles is$∠LMP$ and $∠MPQ$.