These are two different questions but I do not understand them. Pls help! 100 point!!

Question

asked Oct 21, 2024 115k views

1 Answer

Alireza Maddah · Answer 1 · 2024-10-25T11:49:47+0000

Answer:

For 1st:

$\sf A. \angle DLP$

$\sf D. \angle FLG$

For 2nd:

$\sf G. \angle RLC$

$\sf H. \angle MLG$

Explanation:

In geometry, two angles are said to be supplementary angles if their measures add up to 180°.

Two angles are said to be complementary angles if their measures add up to 90°.

In First Picture:

We need to find complementary to:

$\sf \angle SLD$

Since complementary angles measure 90°.

So,

Complementary to:
$\sf \angle SLD$ are:

$\sf A. \angle DLP$

$\sf D. \angle FLG$

Here:

$\sf \angle DLP = \angle FLG \textsf{Since Vertically opposite angles are equal}$

$\hrulefill$

In Second picture:

We need to find supplementary to:

$\sf \angle MLR$

Since supplementary angles measure 180°.

So,

Supplementary to:
$\sf \angle MLR$ are:

$\sf G. \angle RLC$

$\sf H. \angle MLG$

Note: Angles on a straight line are supplementary: