please answer me please
Answers
Answer:
x=11 y=10 and z=? it has been helping
Answer:
x=11cm
y=15°
z=106°
Step-by-step explanation:
GIVEN: AB||CD
DA||BC
therefore ABCD is a parallelogram
DC=(3x+14) cm
AB=(2x+25) cm
TO FIND: x,y,z
PROOF: ^DCA = ^CAB ( alt angles)
y+9° =24°
y = 24-9
:y = 15°:
^DCA=y+9°
=15+9°
24°
^DAC = (3y+5)°
= {3(15)+5°}
= (45°+5°)
=50°
^DAC+^CAB=^DAB
50°+24°=^DAB
^DAB=74°
^DCB=^DAB (OPP SIDES OF PARALLELOGRAM
ARE EQUAL)
^DCB=74°
^ACB=^DCB-^DCA
= 74°-24°
= 50°
^ACB+^CAB+^ABC=180° (TRIANGLE)
50°+ 24°+ z = 180°
74° + z = 180°
z = 180° - 74°
:z= 106°:
AB=CD. ( PARALLELOGRAM)
2x+25=3x+14
25-14=3x-2x
11=x
:x=11:
HOPE IT HELPED YOU
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