Question

find the unknown quantities in the following rhombus REST. Hence, Find all of its angles​

Answer 1

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)

PLZ MARK AS BRAINLIEST:)

Answer 2

Answer:

x=65

y=40

Step-by-step explanation:

angles are 40,140,40,140