Question

In the given figure x:y=1:2 and ∆UNT=90° find the values of x,y and z?​

Answer 1

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Answer 2

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Given :

• x : y = 1 : 2

• ∠UNT = 90°

To Find :

• Value of x, y and z

Solution :

➦ ∠UNT + z = 180°

➦ 90° + z = 180°

➦ z = 180 - 90

➦ z = 90°

Let x be a and y be 2a

According to question,

➦ x + y + z = 180° [ Angle Sum Property of triangle ]

➦ a + 2a + 90° = 180°

➦ 3a + 90° = 180°

➦ 3a = 180 - 90

➦ 3a = 90

➦ a = 90/3

➦ a = 30°

x = a = 30°

y = 2a = 30 × 2 = 60°

Additionally :

• Angle Sum Property of triangle is 180°

• Angle Sum Property of quadrilateral is 360°

• Sum of angles in a straight line is 180°

• Linear Pair = 180°