Question

Shubham asked Saurabh how many cows he had. Saurabh replied that the number of legs of the people

and cows in his house together is 38. The number of heads of the people and cows in his house together

is 11. Then how many cows does Saurabh have?​

Answer 1

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°.