Question

In figureif ZA+ZB+ZC+ZD+ ZE+ZF= 90k
right angles, then find value of k.​

Answer 1

Answer:

In the figure, if ∠A+∠B+∠C+∠D+∠E+∠F= k right angles, then k is

86540

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ANSWER

In △ABC using angle sum property of triangle

∠A+∠B+∠C=180

∘

......(i)

Similarly in △DEF

∠D+∠E+∠F=180

∘

......(ii)

Adding (i) and (ii)

⇒∠A+∠B+∠C+∠D+∠E+∠F=180

∘

+180

∘

⇒∠A+∠B+∠C+∠D+∠E+∠F=360

∘

k(90

∘

)=360

∘

⇒k=

90

∘

360

∘

=4