Answer:
m∠T = 60°
m∠U = 60°
TS = 13 cm
SU = 13 cm
Explanation:
The diagram shows that 2 sides, UT and TS, are equal, so it is an isosceles triangle. Since it is an isosceles triangle, the two angles opposite the equal sides are also congruent to each other, so m∠S = m∠U = 60°.
Now we know the measure of 2 angles, we can find the measure of the third angle, by subtracting the 2 known angles from 180°.
m∠T = 180° - m∠S - m∠U
m∠T = 180° - 60° - 60°
m∠T = 60°
Since all 3 angles are congruent, it is an equilateral triangle, therefore all the sides must be congruent too. So UT = TS = SU = 13 cm.