Consider kite WXYZ. Kite W X Y Z is shown. The length of X Y is 3 a minus 5 and the length of Y Z is a + 11. Angle W is 50 degrees, angle X is (3 b) degrees, and angle Y is 70 degrees.
What are the values of a and b?
a = 4; b = 10
a = 4; b = 40
a = 8; b = 10
a = 8; b = 40

Step-by-step explanation:

See attached

Kite WXYZ with:

Since XY and YZ are congruent sides, XY = YZ

The angles Z and X are equal and the sum of 4 angles is 360°, therefore:

Correct option is the last one

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

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step-by-step explanation: