Respuesta :

Answer: m<1= 90

m<2= 42

m<3= 42

m<4= 48

m<5= 48

Step-by-step explanation: Reasoning= 8th grade nerd

Just kidding, the diagonals bisect the angles(vertices) and opposite angles are congruent thanks to nasty proofs, which means <4=<5. The same goes with angle 2 and 3. The sum of interior angles of a rhombus is 360 degrees. So, 48 times 4, is 192, and 360-192 is 168. 168 divided by 4 is 42. There's your messy explanation. You(the person asking) probably turned this in already but to those who are searching for this answer days, weeks, months, even years ahead, good luck. Geometry is kinda rough but you'll (might) get the hang of it if you pay enough attention.

The angles are as follows:

∠1  = 90°

∠2 = 42°

∠3 = 42°

∠4 = 48°

∠5 = 48°

The figure is a rhombus

The diagonals of a rhombus are perpendicular bisector of each other.

Adjacent angle are supplementary too.

Therefore,

∠1  = 90°

The diagonal cut the angles into 2 equal half. Therefore,

∠4 = 48°

opposite angles are equal . Therefore,

∠5 = 48°

Sum of angles in a quadrilateral = 360°. Therefore,

48(2) + 48(2) + 2(∠2 + ∠3) = 360

2(∠2 + ∠3) = 360 - 192

(∠2 + ∠3) = 168 / 2

∠2 + ∠3 = 84°

∠2 = 1 /2 × 84

∠2 = 42°

∠3 = 42°

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