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4 years ago

In the rhombus, m<3=80. Find m<2

Mathematics

2 answers:

sweet-ann [11.9K]4 years ago

7 0

I believe the measure of angle 2 is 40

Anton [14]4 years ago

6 0

Answer:

∠2 = 50°

Option 4 is correct.

Step-by-step explanation:

In the rhombus, m∠3=80°

∠1=∠2 (Alternate angle because opposite line of rhombus is parallel)

∠1=∠4 ( Base of isosceles triangle is equal )

In ΔABC

∠1 + ∠4 + ∠3 = 180° (Angle sum property of triangle)

∠2 + ∠2 + ∠3 = 180° ( ∵ ∠1=∠2 ,∠4=∠2 )

2∠2 + 80° = 180°

2∠2 = 100°

∠2 = 50°

Hence, The measure of ∠2 = 50°

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Step-by-step explanation:

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