Geometry
6 Online
OpenStudy (anonymous):
Use rhombus TQRS below for questions 1–4.
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OpenStudy (anonymous):
1. What is the measure of angle 1 ?
A. 47
B. 37
C. 74
D. 53
OpenStudy (anonymous):
2. What is the measure of angle 2 ?
A. 47
B. 74
C. 37
D. 53
ganeshie8 (ganeshie8):
one q at a time please
OpenStudy (anonymous):
1. What is the measure of angle 1 ?
A. 47
B. 37
C. 74
D. 53
ganeshie8 (ganeshie8):
lol ok, use this for q 1 :- in rhombus, diagonals bisect the angles
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OpenStudy (anonymous):
I'm confused
ganeshie8 (ganeshie8):
what does that mean ? the diagonal SQ divides the angle S into two equal halves
ganeshie8 (ganeshie8):
look at pix, so angle 1, and 53 are same
ganeshie8 (ganeshie8):
angle 1 = 53
OpenStudy (anonymous):
ok take a look at q 2 please
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ganeshie8 (ganeshie8):
ok, use this for q 2 :- in rhombus, consecutive angles add up to 180
ganeshie8 (ganeshie8):
S and T are consecutive angles here
OpenStudy (anonymous):
so do you do 180-53 ?
ganeshie8 (ganeshie8):
kinda, but 53 is not full S
ganeshie8 (ganeshie8):
53 is only half of S, so we get this :-
T+S = 180
T + 53*2 = 180
T + 106 = 180
T = 74
=>
angle 2 = T/2 = 74/2 = ?
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OpenStudy (anonymous):
37 ?
OpenStudy (anonymous):
Correct! :D