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Bunuel

What is the measure of angle SQR in the figure above?

(1) x = 40°

(2) y = 80°

Attachment:
2018-02-07_1701.png


Bunuel Since PS= SR, isn't the line QS an angle bisector ?
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Bunuel

What is the measure of angle SQR in the figure above?

(1) x = 40°

(2) y = 80°

Attachment:
2018-02-07_1701.png


Bunuel Since PS= SR, isn't the line QS an angle bisector ?

We are not given that PS= SR, and you cannot assume that from the figure. Even if we were given that PS= SR, then QS would be median, not an angle bisector.
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Bunuel

What is the measure of angle SQR in the figure above?

(1) x = 40°

(2) y = 80°

Attachment:
2018-02-07_1701.png

#1
x=40
insufficient
#2
y=80
angle QSR = 100
and angle SQR = 180-(100+30) ; 50
sufficient
OPTION B
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Bunuel

What is the measure of angle SQR in the figure above?

(1) x = 40°

(2) y = 80°

Attachment:
2018-02-07_1701.png


Bunuel Since PS= SR, isn't the line QS an angle bisector ?

We are not given that PS= SR, and you cannot assume that from the figure. Even if we were given that PS= SR, then QS would be median, not an angle bisector.

But it states it right under the triangle that PS = SR. my reasoning behind A being sufficient is since the PS = SR and angle x is adjacent from PS, won't that make the other angle adjacent to SR equal to angle S?
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Bunuel
sonalchhajed2019

What is the measure of angle SQR in the figure above?

(1) x = 40°

(2) y = 80°

Bunuel Since PS= SR, isn't the line QS an angle bisector ?

We are not given that PS= SR, and you cannot assume that from the figure. Even if we were given that PS= SR, then QS would be median, not an angle bisector.

But it states it right under the triangle that PS = SR. my reasoning behind A being sufficient is since the PS = SR and angle x is adjacent from PS, won't that make the other angle adjacent to SR equal to angle S?

My eyes :) :) :)

Yes. PS = SR but (1) is still not sufficient. For example, consider the image below:
Attachment:
Untitled.png
Untitled.png [ 10.73 KiB | Viewed 3404 times ]
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