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Assoli18 [71]
3 years ago
10

30 POINTS For Answers To Questions 1-10

Mathematics
1 answer:
DochEvi [55]3 years ago
6 0

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=\frac{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=\frac{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

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