Question

find value of x in the following

Answer 1

Answer:

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Class 9

>>Maths

>>Lines and Angles

>>Parallel Lines

>>In the figure if Line l || m and the lin

Question

In the figure if Line l || m and the line n is the transversal then find the value of a and b

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Solution

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Given:l∥m

sum of the interior angles on the same side of transversal is 180

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b+52

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=180

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⇒b=180

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−52

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=128

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And a=52

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∴a=52

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,b=128

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Answer 2

Answer:

 The measure of $x$ is $51^{0}$.

Step-by-step explanation:

Given : m∠O = $44^{0}$

          m∠M = $85^{0}$

To find : The value of $x$ i.e. m∠P = ?

Solution :

• It is given that  m∠O = $44^{0}$

                     m∠M = $85^{0}$

• We have to find the value of $x$ i.e. m∠P.
• From the figure, alternate angles are ∠M and ∠Q.
• The measure of alternate angles are equal.

           ∴  ∠M = ∠Q

            ∴ ∠Q = $85^{0}$    (∵ m∠M = $85^{0}$)

• Now, the sum of all angles of a triangle is $180^{0}$.
• So, in ΔOPQ,

     m∠O + m∠P + m∠Q = $180^{0}$

                  ∴ $44^{0} +85^{0} +x^{0} =180^{0}$

                         ∴ $129^{0} +x^{0} = 180^{0}$

                                    ∴ $x^{0} = 180^{0} -129^{0}$    

                                    ∴ $x^{0} =51^{0}$

• ∴  The measure of $x$ is $51^{0}$.