find the unknown quantities in the following rhombus REST. Hence, Find all of its angles
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find the unknown quantities in the following rhombus REST. Hence, Find all of its angles
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Answer:
In rhombus REST,
opposite angles, angle r is congruent to angle s and angle e is congruent to angle t
therefore, angle r = angle s
2x-90=x-25
2x-x=-25+90
1x=65
x=65°
therfore, angle e = angle t
3y+20=y+100
3y-y=100-20
2y=80
y=80÷2
y=40°
VALUES OF ALL ANGLES:
ANGLE R= 2x-90
=2×65-90
=130-90
=40°
ANGLE = 3y+20
=3×40+20
=120+20
=140°
ANGLE S= x-25
=65-25
=40°
ANGLE T = y+100
=40+100
=140°
(sum of all angles = 40+40+140+140=360)
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