araceli9603
araceli9603 araceli9603
  • 18-08-2019
  • Mathematics
contestada

Find m<2 and m<3 in the rhombus. The diagram is not to scale.

Find mlt2 and mlt3 in the rhombus The diagram is not to scale class=

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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 18-08-2019

Answer:

m∠2 = 118, and m∠3 = 31

Step-by-step explanation:

The 2 opposite angles of a rhombus are equal.

Angle 1 and Angle 2 are opposite to each other. Since Angle 1 is 118, angle 2 is also 118.

Now looking at the bottom triangle in the rhombus, the two sides are equal (given by 2 lines). Hence, the 2 opposite angles are equal. Since we know 3 angles of a triangle add up to 180 degrees, we can write: (let angle 3 be x):

x + x + 118 = 180

2x = 180 - 118

2x = 62

x = 62/2

x = 31

So m∠2 = 118, and m∠3 = 31

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