Question

- Two angles of a triangle are of measures 60° and 75°. Find the measure of the third angle.​

Answer 1

Question :-

Two angles of a triangle are of measures 60° and 75°. Find the measure of the third angle.

Answer :-

Given:- Two angle of a triangle =60° and 75°.

Find :- The therd angle

Solution :-

Sum of angle of a triangle =180°

$\[ \begin{array}{l} \\ \\ \rm \implies 60^{\circ}+75^{\circ}+x=180^{\circ} \\\\ \\ \rm \implies 135^{\circ}+x=180^{\circ} \\\\ \\ \rm \implies x=180^{\circ}-135^{\circ} \\ \\ \\ \color{red}\boxed{ \rm \implies x = 45^{\circ}} \end{array} \]$

Hence, The answer is 45°.

Answer 2

Given,

Two angles of a triangle are of measures 60° and 75°.

To find,

The value of the third angle.

Solution,

The value of the third angle will be 45°.

We can easily solve this problem by following the given steps.

We know that the sum of the three angles in a triangle is equal to 180°.

According to the question,

First angle = 60°

Second angle = 75°

Let's take the first and second angles to be x and y respectively.

Now, let's take the third angle to be z°.

So, we have

First angle + second angle + third angle = 180°

x+y+z = 180°

(60+75)° + z = 180°

135° + z = 180°

z = (180-135)°

z = 45°

Hence, the value of the third angle for the given triangle is 45°.