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DanielleElmas [232]
2 years ago
11

Need Help With Math Problem

Mathematics
1 answer:
ioda2 years ago
7 0
It’s b i’ve had this before
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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures
aleksley [76]

Angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

The correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

The reason the selection is correct is as follows:

The given angles are;

m∠1 = (30·x - 30)°. m∠5 = (40·x + 70)°

∠1, and ∠5, are located on the same side of the transversal and are both formed on the interior side of the parallel lines

Therefore, they are same–side interior angles

Same side interior angles theorem states that same side interior angles formed between parallel lines are supplementary

Therefore, we have;

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

x = \dfrac{140^{\circ}}{70} = 2^{\circ}

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore;

Same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

Learn more about parallel lines cut by a transversal here:

brainly.com/question/533025

8 0
2 years ago
HELP ASAP (40 POINTS)
frez [133]

Answer:

c i think because the problem =-

-  \frac{1}{4}

4 0
2 years ago
If 3x – 10 = 17, what is the value of 6x + 20 ?
IceJOKER [234]
3x-10=17\ \ \ \ /+10\\\\3x-10+10=17+10\\\\3x=27\ \ \ \ /:3\\\\3x:3=27:3\\\\x=9\\\\\\\\6x+20=6\cdot9+20=54+20=74



3x-10=17\ \ \ /\cdot2\\\\2\cdot3x-2\cdot10=2\cdot17\\\\6x-20=34\ \ \ \ /+40\\\\6x-20+40=34+40\\\\6x+20=74
3 0
3 years ago
Read 2 more answers
Match the meaning of each of the following expressions help
Dmitriy789 [7]
9.
3.
1.
4.
2.
7.
5.
6.
8.
10.
4 0
3 years ago
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A number is greater than another number by 5. if their sum is 21, find the number​
Flura [38]

Answer:

13.

Step-by-step explanation:

x+x+5=21

2x+5=21

2x=16

x=8

5 0
2 years ago
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