Question

30.
एक डब्बे में 1 से 90 तक की संख्याओं वाले 90 कार्ड हैं । यदि डब्बे में से एक कार्ड यादृच्छया
निकाला जाता है, तो निम्न के आने की प्रायिकता ज्ञात कीजिए-
i. एक दो अंको की संख्या
ii. एक पूर्ण वर्ग संख्या
एक 5 से विभाज्य संख्या
अथवा​

Answer 1

Answer:

1/90

i) ek do anko ki sankhya

Answer 2

Answer:

Measure of each angle of triangle is 80°, 50° and 50°.

Step-by-step explanation:

Given :-

Measure of exterior angle of triangle is 100°.

Opposite angles of triangle are equal.

To find :-

Measure of each angle of triangle.

Solution :-

Let, Angles of triangle be ∠1, ∠2 and ∠3.

It is given angle opposite to 100° are equal.

So, ∠1 = ∠2

Sum of all angles forms on straight line is equal to 180° [We can say by linear pair]

\leadsto ⇝ ∠3 + 100° = 180°

\leadsto ⇝ ∠3 = 180° - 100°

\leadsto ⇝ ∠3 = 80°

Measure of ∠3 is 80°.

Now,

By Angle sum property of triangle:

\leadsto ⇝ ∠1 + ∠2 + ∠3 = 180°

Put ∠1 = ∠2 and ∠3 = 80°.

\leadsto ⇝ ∠1 + ∠1 + 80° = 180°

\leadsto ⇝ 2∠1 = 180° - 80°

\leadsto ⇝ 2∠1 = 100°

\leadsto ⇝ ∠1 = 100°/2

\leadsto ⇝ ∠1 = 50°

Measure of ∠1 is 50°.

∠1 = ∠2

So,

Measure of ∠2 is 50°.

Therefore,

Measure of each angle of triangle is 80°, 50° and 50°.