Question

In the rhombus m<1 =160. What are m<2 and m<3? The diagram isn't drawn to scale

Answer 1

A rhombus is a parallelogram with four equal sides and two sets of equal angles.

If the m<1=160°, then the angle opposite (3) would also be 160°.

m<3=160°.

Becuase it is a parallelogram, the sum of the measurment of two angles that share a line would be 180 (supplementary).

m<2 and m<4 is 20°.

Answer 2

The measure of other angles in Rhombus are

m ∠2=20

m ∠4=20

m ∠3=160

Given :

In the rhombus m ∠1 =160

In a rhombus, opposite angles are congruent.

The angle opposite to angle 1 is angle 3.

so m ∠1 =m ∠3

m ∠3= 160 degrees

Other pair of opposite angles are also congruent.

so m ∠2=m ∠4

We know that , the sum of 4 angles = 360

$m<1+m<2+m<3+m<4=360\\160+m<2+160+m<4=360\\\\m<2=m<4\\160+m<2+160+m<2=360\\320+2m<2=360\\2m<2=40\\m<2=20$

m ∠2=20

m ∠4=20

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