Question

in the figure, PQ //RIS and l is transversal line, what will be the value of x?

Answer 1

Answer:

2x+30=x+70 ( alternate interor angles)

so x is 40 degrees

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Answer 2

Gɪᴠᴇɴ :-

• PQ ll RS , I is a transversal line .

Tᴏ Fɪɴᴅ :-

• Value of x ?

ᴄᴏɴᴄᴇᴘᴛ ᴜsᴇᴅ :-

Alternate Interior Angles :- When two lines are crossed by another line (the Transversal), a pair of angles :-

• on the inner side of each of those two lines .
• But on opposite sides of the transversal.

are called Alternate Interior Angles.

Alternate Interior Angles Are Equal.

Sᴏʟᴜᴛɪᴏɴ :-

By Alternate Interior Angles Concept we can conclude That,

→ (x + 70°) = (2x + 30°)

→ 2x - x = 70° - 30°

→ x = 40° (Ans.)

Hence, Value of x will be 40°.

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Additional Information :-

• Angle sum property of a triangle : The sum of all the three angles of a triangle is equal to 180° .

• Exterior angle property of a triangle : The exterior angle of a triangle is equal to the sum of two opposite interior angles .

• When two parallel lines are cut by a transversal then ;

• Corresponding angles are equal.
• Alternate interior angles are equal.
• Alternate exterior angles are equal.
• Consecutive interior angles are supplementary.

• Transversal line : It is a line which cut two other lines at two distinct points on the same plane.

• Complementary angles : Two angles are said to be complementary, if their sum is 90° .

• Supplementary angles : Two angles are said to be supplementary, if their sum is 180° .

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