Question

Find the measure of T in the given Kite.

Answer 1

Answer: Last Option

50°

Explanation:

For this case we know the R and S angles of the comet.

Note in the image that the UR and US sides are congruent, and the UT and ST sides are congruent.

Therefore the angle U is equal to the angle S

`S = U = 100\°`

Finally, the sum of the interior angles of a quadrilateral is equal to 360 °.

This is:

`S + R + U + T = 360\°\\\\100+ 110 +100 + T = 360\\\\`

Now we solve the equation for T

`T = 360-100-110-100\\\\T = 50\°`

Answer 2

50°

Explanation:

From the question, m<R=110°, m<S=100°

Besides,m<S=m<U=100°

The interior angles of a kite add up to 360°

This implies,

m<U+m<S+m<R+m<T=360°

This implies,

100+100+110+m<T=360

This implies,

m<T+310=360

This implies,

m<T=360-310=50°