1 Answer

Dry · Answer 1 · 2022-07-31T15:35:31+0000

Given:

is the angle bisector of
$\angle XYZ$ .

$m\angle XYZ=52^\circ$

To find:

The measure of
$m\angle ZYA$ .

Solution:

It is given that
is the angle bisector of
$\angle XYZ$ . It means

$m\angle XYA=m\angle ZYA$ ...(i)

Now,

$m\angle XYA+m\angle ZYA=m\angle XYZ$

$m\angle ZYA+m\angle ZYA=52^\circ$ [Using (i)]

$2m\angle ZYA=52^\circ$

Divide both sides by 2.

$m\angle ZYA=(52^\circ)/(2)$

$m\angle ZYA=26^\circ$

Therefore, the required value is
$m\angle ZYA=26^\circ$ .

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