Question

. In the given figure, find the values of x and
y and then show that PQ || XY.
110°
P
y
Q
х
X 70°
Y​

Answer 1

Answer:

x = 70°

and y=110°

Step-by-step explanation:

x = 70°(: vertically opposite angle)

y=110°(: vertically opposite angles)

Answer 2

The value of x and y is 70 and 110 respectively.

Given:

A figure as shown above.

To Find:

the values of x and y

we also need to prove that PQ || XY

Solution:

If two angles are vertically opposite to each other, their measures are equal.

Since angle y is vertically opposite to the angle with the measure of 110°,

∠y = 110°

Similarly, ∠x = 70°

Now, sum of angle x and y = 70 + 110 = 180°

⇒ angle x and y are co-interior angles and their sum is 180,

Thus, PQ || XY

Hence, the value of x and y is 70 and 110 respectively.

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