Find the value of x:
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1
Answer:
1: 36
2: 75
3:30
4:28
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1) x + 2x + 3x = 180° (Angle sum property of a triangle.)
or, x + 2x + 3x = 180°
or, 6x = 180°
or, x =
or, x = 30°
2) PQ = PR
So, ∠PQR = ∠PRQ (Angles opposite to equal sides are equal.)
So, x + 50° + 50° = 180°
or, x + 100° = 180°
or, x = 180° - 100°
or, x = 80°
3)x + 2x + 90° = 180°(Angle sum property of a triangle.)
x + 2x + 90° = 180°
or, 3x + 90° = 180°
or, 3x = 180° -90°
or, 3x = 90°
or, x =
or, x = 30°
4)122° + 30° + x = 180°(Angle sum property of a triangle.)
122° + 30° + x = 180°
or, 152° + x = 180°
or, x = 180° - 152°
or, x = 28°
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