Question

4. In the adjoining figure, x:y:z = 5:4:6. If XOY is a straight line, find the values of x, y and z. + Х O​

Answer 1

➣ Answer

• All the angles are - 5x = 60° , 4x = 48° and 6x = 72°.

➣ Given

• XOY is a straight line where angles are given in the ratio x : y : z = 5 : 4 : 6.

➣ To Find

• The value of all the angles.

➣ Step By Step Explanation

Given that XOY is a straight line in which angles are given in the form of ratio x : y : z = 5 : 4 : 6.

We need to calculate the value of each angle.

So let's do it !!

➵ Assumption

Let us consider the angles be 5x, 4x and 6x.

➵ Equation

Now, 5x + 4x + 6x = 180 ( Sum of all the angles of a straight line = 180 )

➵ Solution of Equation

⟶ 5x + 4x + 6x = 180

⟶ 15x = 180

⟶ x = 180/15

⟶ x = 12

Therefore, all the angles are - 5x = 5 × 12 => 60° , 4x = 4 × 12 => 48° and 6x = 6 × 12 => 72°.

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