Find the measures
of the numbered angles in rhombus DEFG .

m<1=
m<2=
m<3=
m<4=
m<5=

The measures of the numbered angles in rhombus DEFG are as follows:

m∠1 = 74 / 2 = 37°

m∠2 = 37°

m∠3 = 37°

m∠4 = 37°

m∠5 = 106°

Therefore,

m∠5 = 106°

Therefore,

2∠G + 2∠D = 360

2(106) + 2∠D = 360

2∠D = 360 -  212

∠D = 148 / 2

∠D = 74°

∠F = 74°

Recall the diagonal are angle bisectors. Therefore,

m∠1 = 74 / 2 = 37°

m∠2 = 37°

m∠3 = 37°

m∠4 = 37°

m∠5 = 106°

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Step-by-step explanation:

180-106=74

74/2=37

m<1=37°

m<2=37°

m<3=m<1=37°

m<4=m<2=37°

m<5= 106°

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step-by-step explanation:

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