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RSTU is a kite, m∠R= 150, and m∠S=50. Find m∠T.
A,150
B,110
C,100
D,50

2 Answers

6 votes

Answer:

Answer:110

Explanation:

Interior angles sum to 360

angle S = Angle U

AngleR + Angle S +Angle T= 150+50+50=250

360-250=110

User Areefa
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7.6k points
6 votes

Answer:

A, 150

Explanation:

A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal.

Ok, so we have R=150 as an obtuse angle. Draw out your kite and label the angles. The angle across from R will also be 150. These together make 300 degrees. The two acute angles will be S=50, and 10 degrees, because we have to have 60 total more degrees from the previous 300. We don't know whether T is an acute angle or an obtuse angle, but because the 10 degree angle isn't an option, it must be the angle across from R, which is equal to 150 degrees.

User Peggyann
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7.4k points