Question

Please help me ?

Answer 1

option:-d)`angle6`

Explanation:

Supplementary angle:-
`=>` When the sum of two angles are `180^@`, then one angle is other's supplementary angle.

Here,the sum of `angle5` and `angle6` is `180^@` ,hence `angle5` and `angle6` is supplementary to each other.

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Answer 2

`/_6` is supplementary to `/_5`

Explanation:

Supplementary angles are angles that add up to 180 degrees. Let's go through each of the answer choices:

`/_1`: Angles 1 and 5 are acute angles, thus they cannot add up to 180.

• The largest value an acute angle can take on is 89 degrees. `89+89= 178`. This rules out angle 1.

`/_2`: Angle 2 is an acute angle, and so is angle 5. The highest measure an acute angle can take on is 89 degrees.

• `89+89= 178`, which is just short of 180 degrees, so `/_2` is not supplementary to `/_5`.

`/_4`: Again, angles 4 and 5 are two acute angles, and as we just saw, two acute angles cannot add up to 180 degrees.

`/_6`: Look at the placement of angles 5 and 6. They are both on the diagonal transversal (a line/180 degrees), which makes them supplementary.