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2 years ago

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Given: KLMN is a parallelogram m∠K : m∠KLM=1:3 LF ⊥ KN , LD ⊥ NM Find: m∠FLD

2 answers:

SIZIF [17.4K]2 years ago

7 0

In a parallelogram, opposite angles are equal and since it is a quadrilateral, the angles add up to 360°

<NKL = <LMN = X
<KLM = <KNM = 3X
So, 2(x+3x) = 360°
80x = 360°
x = 45°
The figure LFND is another quadrilateral where:
<LFN = <NDL =90°
<FND = 3x

So, (90×2)+3x+ (angle FLD) = 360°
Angle FLD = 360° - 180° - (3×45)°
= 360° - 315°
= 45°

stiv31 [10]2 years ago

6 0

Answer: m∠FLD is 45 degrees

(i think)

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