Question

166. Find the median of the following: C1 0-10 10-20 20-30 30 - 40 40 - 50 f 5 15 28 10 2 a) 10.57 b) 23.57 C) 25 d) None n​

Answer 1

step-by-step explanation :

PQRS is a parallelogram.

∠P = 60°

In a parallelogram, opposite angles are equal.

So, ∠P = ∠R

Measure of ∠R = 60°

We know that adjacent angles in parallelogram are supplementary, which means their sum is 180°.

Adjecent angles are ∠P and ∠S, ∠Q and ∠R.

\longrightarrow⟶ ∠P + ∠S = 180°

\longrightarrow⟶ ∠S + 60° = 180°

\longrightarrow⟶ ∠S = 180° - 60°

\longrightarrow⟶ ∠S = 120°

∠S is opposite to ∠Q,

\longrightarrow⟶ ∠S = ∠Q

\longrightarrow⟶ ∠Q = 120°

Therefore, angles of the parallelogram are :

∠P = 60°

∠Q = 120°

∠R = 60°

∠S = 120°

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★ Verification:

Verifying by the angle sum property of a parallelogram.

Sum of all angles in a parallelogram is 360°.

\longrightarrow⟶ ∠P + ∠Q + ∠R + ∠S

\longrightarrow⟶ 60° + 120° + 60° + 120°

\longrightarrow⟶ 120° + 240°

\longrightarrow⟶ 360°

Hence verified.