Question

In the Given figure ab//cd. find the value of x. ​

Answer 1

Solution in attachment ⬆️⬆️

hope IT helps!!

Answer 2

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°