Question

1) Can she now conclude that diagonal WY bisects angles ZWX and ZYX?
Mai now learns that WXYZ is a kite and that Angle WXY has a measure of 133degrees and Angle ZWX has a measure of 60 degrees
2) This means that the measure of Angle XWY is:
degrees.
3) The sum of all 3 angles in any triangle is always
degrees
4) Now, find the measure of Angle ZyW.
: 30
= 60
17
180
3 yes
no

Answer 1

The measure of angle ZYW is 17 degrees

Kite

A kite can be divided into congruent and similar triangles

Angle measures

The measures of the angles are given as:

$\angle WXY = 133^o$

$\angle ZWX = 60^o$

The sum of all 3 angles in any triangle is always  180 degrees.

So, we have:

$\angle ZYW + \frac{\angle ZWX}{2} + \angle WXY = 180^o$

The above equation becomes

$\angle ZYW + \frac{60^o}{2} + 133^o = 180^o$

$\angle ZYW + 30^o + 133^o = 180^o$

$\angle ZYW + 163^o = 180^o$

Subtract 163 from both sides

$\angle ZYW = 17^o$

Hence, the measure of angle ZYW is 17 degrees

Read more about kites at:

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