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egoroff_w [7]
3 years ago
14

Please explain how and give the answer!

Mathematics
2 answers:
Olegator [25]3 years ago
8 0
<span>Opposite angles of a rhombus are congruent 
so
m<A = m<C
</span>m<B = m<D
<span>24(10-x)=6(x+15)
240 - 24x = 6x+90
30x = 150
x = 5

</span>24(10-x) = 24(10-5) = 24(5) = 120
<span>so m<B=m<D = 120

rhombus sum of interior = 360

360 - 120 -120 = 120

</span>m<A = m<C = <span>120/2 = 60

answer

</span>m<C = 60<span>


</span>
nadezda [96]3 years ago
7 0
The mass of b equals the mass of d so
24(10-x)=6(x+15)
240-24x=6x+90
30x=150
x=5
mass of d is 6(5+15)=6*20=120
mass of c=180-mas of d=180-120=60°
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