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°
Properties of a rhombus:
- Rhombus has all its side equal to each other.
- opposite sides are parallel
- The diagonals are perpendicular bisector
- Diagonals are angle bisectors
- opposite angles are equal
- sum of angle is equals to 360 degrees
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°
learn more on rhombus here: https://brainly.com/question/14701553?referrer=searchResults
