Answer:
Obtuse
Step-by-step explanation:
Angles of a parallelogram are supplementary to it's adjacent angles . One pair of opposite angles of a parallelogram is obtuse & other pair is acute . Here in the figure , ∠DAB & ∠BCD are obtuse angles and also opposite to each other whereas ∠ADC & ∠ABC are acute angles and are opposite to each other.
Answer:
There are 75 ways to form the committee.
Step-by-step explanation:
The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:
There are 75 ways to form the committee.
Solution:
x y ║ z w→→Given
Also, x z is a transversal, that intercepts x y and z w.
So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.
Also, v is point of intersection of x z and y w.
∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]
So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]
