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Lemur [1.5K]
3 years ago
8

Will mark brainliest please help ​

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0

Answer:8_1

Step-by-step explanation:

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14. Two parallel lines l and m are intersected by a transversal t. If the interior angles on same side of transversal are (2x−8)
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Answer:

70° and 110°

Step-by-step explanation:

It is given that, two parallel lines l and m are intersected by a transversal t.

The interior angles on same side of transversal are (2x−8)° and (3x−7)°.

We need to find the measure of these angles.

We know that, the sum of interior angles of the same side of the  transversal is equal to 180°. So,

(2x−8)° + (3x−7)° = 180°

⇒ 5x-15=180°

⇒5x=180°+15

⇒5x=195

⇒x=39

Put x = 39 in (2x−8)°,

(2x−8)° = (2(39)-8)°

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Again put x = 39 in (3x−7)°,

(3x−7)° = (3(39)-7)°

=110°

So, the measure of these angles are 70° and 110°.

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3 years ago
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Vinvika [58]

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Step-by-step explanation:

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