Question

PQ AND MN intersect at O
Determine y when x = 60
When y = 40

Answer 1

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Answer 2

Answer:

The value of x is 70°

The value of y is 60°

Step-by-step explanation:

Concept :The sum of the angles along a straight line(linear pair) forms 180°.

(a) Calculation of y when x is 60°.

Given: x = 60°.

To find y.

From the given diagram we can see that 2x and y forms a linear pair.

So , 2x + y = 180°.

⇒ 2 (60) + y = 180

⇒ 120 + y = 180

⇒ y = 180 - 120

⇒ y = 60°.

(b) Calculation of x when y is 40°

Given : y = 40°

To find x.

From the given diagram we can see that 2x and y forms a linear pair.

So , 2x + y = 180°.

⇒ 2 x + 40 = 180

⇒ 2x = 180 - 40

⇒ 2x = 140

⇒ x = $\frac{140}{2}$

⇒ x = 70°.

The value of x is 70°

The value of y is 60°

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