Question

I need help with one and two

Answer 1

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°