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Ivan
4 years ago
7

Lines I and m are parallel.

Mathematics
1 answer:
tatyana61 [14]4 years ago
5 0

m∠3 = 70°

Solution:

Line l and line m are parallel.

line t and line s are transversals.

<em>Sum of the adjacent angles in a straight line = 180°</em>

50° + (x + 25)° + (2x)° = 180°

50° + x° + 25° + 2x° = 180°

75° + 3x° = 180°

Subtract 75° from both sides, we get

3x° = 105°

Divide by 3 on both sides of the equation.

x° = 35°

x = 35

(2x)° = (2 × 35)° = 70°

(2x)° and ∠3 are alternate interior angles.

<em>If two lines are parallel then alternate interior angles are congruent.</em>

m∠3 = (2x)°

m∠3 = 70°

Hence m∠3 = 70°.

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5 0
3 years ago
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Oduvanchick [21]

Answer:

D. Expression for Nick's distance from starting point= 6+(-4)+2

Step-by-step explanation:

Finding expression for each scenario:

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B.

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5 0
3 years ago
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bezimeni [28]

Answer:

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26-(4s-9s)=0

26+5s=0

5s=-26

ans: s= -26/5

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