Let Angle QRS be equal to Y. From Stmt 1, Angle SQR is equal to Y. So Angle PRT = (180 - 2*Y)
Let Angle UST = Z. From Stmt 2, Angle SUT = Z. So Angle UTS = (180 - 2*Z).
Sum of angles in a traingle is 180. So (180-2*Y) + (180-2*Z) + 90 = 180.
Y+Z = 135. But X+Y+Z = 180. So X = 45.
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Gmat Prep Tought Geometry Triangle
Source: Beat The GMAT — Data Sufficiency |
Let Angle QRS be equal to Y. From Stmt 1, Angle SQR is equal to Y. So Angle PRT = (180 - 2*Y)
Let Angle UST = Z. From Stmt 2, Angle SUT = Z. So Angle UTS = (180 - 2*Z).
Sum of angles in a traingle is 180. So (180-2*Y) + (180-2*Z) + 90 = 180.
Y+Z = 135. But X+Y+Z = 180. So X = 45.
Let Angle UST = Z. From Stmt 2, Angle SUT = Z. So Angle UTS = (180 - 2*Z).
Sum of angles in a traingle is 180. So (180-2*Y) + (180-2*Z) + 90 = 180.
Y+Z = 135. But X+Y+Z = 180. So X = 45.
