For what value of X shall we have l ǁ m.
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The answer is 40 ok Mark me as brainlist
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★ C O – I N T E R I O R A N G L E S :
- The sum of two interior angles, which are on the same side of the transversal, sums up to 180°.
Therefore,
➟ 4x° + (3x + 5)° = 180°
➟ 7x° = 180° – 5°
➟ 7x° = 175°
➟ x° = 175/7
➟ x° = 25°
•°• Hence, the required value of x is 25°.
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★ V E R I F I C A T I O N :
- We know that the sum of co-interior angles is 180°. So let's verify —
↠ 4x° + (3x + 5)° = 180°
↠ 4(25)° + 3(25)° = 180° – 5°
↠ 100° + 75° = 175°
↠ 175° = 175°
⠀⠀⠀⠀⠀⠀⠀⠀⠀•°• Hence, Verified!
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