Question

30 POINTS For Answers To Questions 1-10

Answer 1

What he said

Explanation:

Answer 2

QUESTION 1

The angle
`33x+3` and
`135\degree` are alternate exterior angles.

Since alternate interior angles are congruent, we must have;

`33x+3=135\degree`

Group similar terms.

`\Rightarrow 33x=135-3`

`\Rightarrow 33x=132`

QUESTION 10

We solve the following equation for the two alternate exterior angles to find x.

`x+134=130`

`\Rightarrow x=130-134`

`\Rightarrow x=-4`

`\Rightarrow x=(132)/(33)`

`\Rightarrow x=4`.

QUESTION 2

The angle
`120\degree` and
`31x-4` degree angle are alternate interior angles.

Alternate interior angles are also equal

`\Rightarrow 31x-4=120\degree`

`\Rightarrow 31x=120+4`

`\Rightarrow 31x=124`

`\Rightarrow x=(124)/(31)`

`\Rightarrow x=4`

QUESTION 3

The angle
`120\degree` and
`x+124` degree angle are alternate interior angles.

Alternate interior angles are congruent

`\Rightarrow x+124=120\degree`

`\Rightarrow x=120-124`

`\Rightarrow x=-4`

QUESTION 4

The given angles,
`40x+5` and
`42x-1` are alternate interior angles.

`\Rightarrow 40x+5=42x-1`

Group like terms;

`\Rightarrow 5+1=42x-40x`

`\Rightarrow 6=2x`

Divide both sides by 2 to get;

`\Rightarrow x=3`

QUESTION 5

The given angles,
`20x+4` and
`19x+9` are alternate interior angles.

`\Rightarrow 20x+4=19x+9`

Group like terms;

`\Rightarrow 20x-19x=9-4`

`\Rightarrow x=5`

QUESTION 6

The given angles,
`11x` and
`-9+12x` are alternate exterior angles.

Since the alternate exterior angles are congruent, we have;

`-9+12x=11x`

We group similar terms to obtain;

`12x-11x=9`

`\Rightarrow x=9`

QUESTION 7

The two angles,
`x+88` and
`80`.

The two alternate interior angles are congruent.

`\Rightarrow x+88=80\degree`

`\Rightarrow x=80-88`

`\Rightarrow x=-8`

QUESTION 9

The two angle alternate interior angles.

These angles are congruent.

This implies that;

`x+75=70`

`\Rightarrow x=70-75`

`\Rightarrow x=-5`

QUESTION 10

We solve the following equation for the two alternate exterior angles.

`x+134=130`

`\Rightarrow x=130-134`

`\Rightarrow x=-4`