1) Angle T = 72°
Angle U = 54°
2) Angle M = 76°
Angle N = 76°
Explanation:
1. Isosceles triangle (since 2 sides are equal)
Angle U = Angle S = 54° (equal sides of a traingle have equal angles)
angle U + angle S + angle T =180 (Angle sum Property)
54° + 54° + angle T = 180°
108 + angle T = 180°
Angle T = 180 - 108
= 72°
2. Isosceles triangle again (same properties)
angle L + angle M + angle N = 180
28 + angle M + angle N = 180
angle M + angle N = 180 - 28
angle M + angle N = 152
"angle M and N will be equal since it is
isosceles triangle"
so, 2x (M&N) = 152
x = 152 ÷ 2
= 76
therefore angle M = angle N = 76°
