What is the measure of y in degrees

Since this is an isosceles triangle, (it has two equal sides) we know that both X and Z equal 32°.

Using the triangle sum theorem, (all angles in a triangle add up to 180°) we know that if X and Z together = 64°, then the formula to find Y is: 180 - 64.

180 - 64 = 116. Y = 116°!

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2021-12-01T10:14:50+01:00

The measure of angle Y is [tex]116^\circ[/tex] and this can be determined by using the properties of an isosceles triangle and also by using the interior angle theorem.

Given :

XY = 4 units
YZ = 4 units
Angle X = 32 degrees

According to the given data, the side length of XY and YZ are equal. So, it can be concluded that the given triangle is an isosceles triangle.

In an isosceles triangle, two angles are equal. So, in the given triangle angle X and angle Z are equal, that is:

[tex]\rm \angle X = \angle Z = 32^\circ[/tex]

So, by using the sum of interior angle theorem it can be said that:

[tex]\rm \angle X + \angle Z + \angle Y = 180^\circ[/tex]

32 + 32 + [tex]\rm \angle Y[/tex] = 180

[tex]\rm \angle Y[/tex] = 180 - 64

[tex]\rm \angle Y[/tex] = [tex]116^\circ[/tex]

So, from the above calculation, it can be said that angle Y is [tex]116^\circ[/tex].

For more information, refer to the link given below:

https://brainly.com/question/19237987