In the Given figure ab//cd. find the value of x.
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QUESTION :
In the given figure AB || CD. Find the value of x .
GIVEN :
- Figure is given as AB || CD
- Angle ABM = 25°
- Angle MDC = 35°
TO FIND :
- The value of x According to the provided figure = ?
STEP -BY-STEP EXPLAINATION :
➠ ∠ ABM + ∠ PMB = 180° (By linear pair)
➠ 25 + ∠ PMB = 180°
➠ ∠ PMB = 180 - 25
➠ ∠PMB = 155°
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➠ ∠ PMD + MDC = 180° (By linear pair)
Substitute the given Formula (value of angles) as per the given :
➠ ∠ PMD + 35° = 180°
➠ ∠ PMD = 180° - 35°
➠ ∠ PMD = 145°
Now, we will have to find here the value of x
➠ ∠ PMB + ∠PMD = x
➠ 155° + 145° = x
➠ 300° = x
➠ x = 300°
Therefore, the value of x we got here = 300°
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