Question

Rahul does physical exercises 5

x minutes daily, where x can be calculated from the given figure. If AB || CD,

GL and HL are the bisectors of ∠BGH and ∠GHD respectively, then for how many minutes, Rahul exercises

daily? ​

Answer 1

answer is 12.....min

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X+X+X=180⁰

3X=180⁰

X=60⁰

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.X÷5=60÷5

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.ans is 12 min.....

Answer 2

CORRECT QUESTION

Rahul does physical exercises x/5 minutes daily, where x can be calculated from the given figure. If AB || CD, GL and HL are the bisectors of ∠BGH and ∠GHD respectively, then for how many minutes, Rahul exercises daily?

ANSWER

The correct answer is 18 minutes.

GIVEN

• Rahul does physical exercises x/5 minutes daily
• AB || CD, GL and HL are the bisectors of ∠BGH and ∠GHD respectively,

TO FIND

Number of minutes does Rahul excercise.

SOLUTION

We can simply solve the above problem as follows;

It is given,

AB || CD

∠BGH + ∠ DHG = 180°

(Angles on the same side of the transversal lines are supplimentary)

In ΔGLH

Therefore,

∠BGH/2 + ∠DHG/2 = 180/2

∠LGH + ∠LHG = 90° (Equation 1)

Also,

∠LGH + ∠LHG + ∠x = 180° (Sum of interior angles of a triangle)

From equation 1

90 + ∠x = 180°

∠x = 180-90 = 90°

Now,

It is given that Rahul takes minutes to excersize is

given by = x/5

= 90/5 = 18 minutes

Hence, The correct answer is 18 minutes.

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