The parallel sides of a Trapezium is 20 and 46cm respectively and the non-parallel sides were 10 cm and 24 cm respectively. If the non-parallel sides were extended and the meet each other at m. find the value of ∠m?
Let ABCD be the trapezium with AB ∥ CD The non-parallel lines AD and BC were extended and they meet each other at point m… Now construct a line CE parallel to DA. AD = CE = 10cm, AE = CD = 20cm BE = (46-20) = 26cm Now, CE=10cm, BC=24cm and BE=26cm BE² = CE² + BC² Therefore Triangle BCE is a right angled triangle with ∠BCE = 90⁰ ∠m = ∠BCE = 90⁰ (Corresponding Angles are equal)
Statements: Y < X ≥ B < V; A < L ≤ K; R ≤ F ≤ O < X; V ≤ K
Conclusions:
I. R < K
II. A < B
III. Y < F
Statements: V ≤R = W ≥ Q, U = T ≥ S < X, U < Q
Conclusions: I. S < W II. V ≥ X
Statement: A < Z > I < B > S = O ≤ N
Conclusions:
I. S= N
II. B > O
Statements: P % Q, Q & R, R $ S, S # Z
Conclusions:
I. P & R
II. R # Z
Statements:
R ≤ S = T; P < Q = R; S < U ≤ V; W ≥ V
Conclusions:
I). P < U
II). W > R
III). T ...
Which of the following expressions will be false, if the given expression C > D = E < F < G ?
Statements: T @ A % S $ L © J
Conclusions:
I. T % L
II. T $ L
III. S # J
Statements: P * R, M & N, R $ M
Conclusions: a) P @ M b) P $ M
...Statement: F ≥ G > I > E ≤ P, E = S ≥ P
Conclusion: I. F ≥ PII. G > P
Statements: H + L & F; F + V $ U; A * U * R
Conclusions:
I. H + U
II. A * F
III. R + L
