Question

M∠R=140 and m∠S=100. Find the m∠T. The diagram is not on the scale.

Answer 1

m<T = 20°

Explanation:

m<R = 140°

m<S = 100°

The figure given is a kite. The angles formed where two unequal sides meet are always congruent to each other. This means:

m<S = m<U = 100°

Sum of all interior angles of a quadrilateral = 360°

Therefore:

m<T = 360° - (m<S + m<U + m<R)

m<T = 360° - (100° + 100° + 140°) (substitution)

m<T = 20°