Question

RSTU is a kite, m<R=120, and m<S=100. Find m<T

A.120
b.40
c.100
d.60

Answer 1

The measure of the ∠T is 40 ° .

Option (b) is correct .

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 .