Question

In the given figure , if l parallel to m, then the measure of angle x is​

Answer 1

Answer:

x=90°

because angle opposite to 32° will be 58°

(alternate interior angle)

and the x = 90°

( exterior angle is equal to sum of its opposite interior angle)

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Answer 2

Given: In the figure, l ║ m

To find: The measure of angle $x$

Solution:

It is said that in the figure, l ║m, it is seen that a triangle has been made, and let us name that triangle ABC (say),

Accordingly, the angle $58^o$ is equal to ∠ABC (∵ They are alternate angles and we know that alternate angles are always equal to each other)

∠ACB = $32^o$ (given)

From the corollary, Exterior angle = Sum of two opposite interior angles

$x=$ ∠ABC + ∠ACB

$x = 58 +32$

∴$x=90^0$

Final answer:

The measure of the angle $x$ is $90^o$