find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))

see explanation

Step-by-step explanation:

• The diagonals bisect each other at right angles, then

∠ 2 = ∠ 3 = 90°

∠ 1  = 180° - (90 + 52)° ← angle sum of a triangle

∠ 1 = 180° - 142° = 38°

• Diagonals bisect the endpoints, then

angle at vertex with ∠ 1 = 76° and

angle at vertex with ∠ 4 = 76°, thus

∠ 1 = ∠ 4 = 38°

In conclusion

∠ 1 = 38°, ∠ 2 = 90°, ∠ 3 = 90°, ∠ 4 = 38°

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2