RSTU is a kite, m<R=120, and m<S=100. Find m<T
A.120
b.40
c.100
d.60
Answer:
The measure of the ∠T is 40 ° .
Option (b) is correct .
Step-by-step explanation:
As given
RSTU is a kite, m∠R=120° , and m∠S=100° .
Now by using the properities of the kites .
One pair of oppoite angles are equal .
i.e
∠U = ∠S = 100 °
Now by using the angle sum property of a quadilateral .
Thus
∠U + ∠S + ∠R +∠T = 360 °
Putting the values in the above
100° + 100° + 120° +∠T = 360 °
∠T = 360° - 320°
∠T = 40°
Therefore the measure of the ∠T is 40 ° .
Option (b) is correct .