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Re: In the figure above, PQ = QR = PR. What is the value of x ?
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11 Apr 2022, 09:53
Carcass wrote:
In the figure above, PQ = QR = PR. What is the value of x ?
(A) 30
(B) 45
(C) 60
(D) 90
(E) 120
If PQ = QR = PR, then triangle PQR is an equilateral triangle, which means each angle in the triangle is 60°. Since angles on the line add to 180°, we can write: ∠QRP + x = 180 Since ∠QRP = 60°, our equation becomes: 60 + x = 180, which means x = 120.
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Re: In the figure above, PQ = QR = PR. What is the value of x ?
[#permalink]
11 Apr 2022, 10:47
1
If all sides of triangle are equal then triangle is a equilateral triangle, which has all angles equal to 60 ----> Regular Polygon interir angles = 180 * (No. of sides - 2) / No. of sides ----> 180(3-1) / 3 = 60
Now 60 + x = 180 ---> x = 120, hence option E is the ans
Re: In the figure above, PQ = QR = PR. What is the value of x ?
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11 Apr 2022, 12:55
1
This is the easy one. You already know that this triangle is Equilateral; therefore, P = Q = R = 60 Furthermore, R + X = 180 and doing the math you get X = 120.
gmatclubot
Re: In the figure above, PQ = QR = PR. What is the value of x ? [#permalink]