rite2deepti wrote:

In triangle PQR, the measure of angle P is 30° more than twice the measure of angle Q.

What is the measure of angle R?

(1) PQ = QR

(2) The measure of angle P is 78°.

I am clueless about this question

The best thing to do in geometry questions is to make a diagram:

Attachment:

Ques1.jpg [ 7.12 KiB | Viewed 16940 times ]
I have got all angles in terms of angle Q.

angle R = 180 - Q - (30 + 2Q) = 150 - 3Q

(Since sum of all angles in a triangle is 180).

To find angle R, I only need angle Q.

Stmnt 1: If PQ = QR, angle P = angle R.

30 + 2Q = 150 - 3Q. you will get Q and hence the value of angle R.

Stemnt 2: If angle P is 78, 30 + 2Q = 78. You will get value of angle Q and hence value of angle R.

Both statements alone sufficient so answer is D.

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Karishma

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