Question

If two angles of triangle are 45® and 75®, then the measure of the third angle will be :
a. 18® b.90® c. 60® d.140®​

Answer 1

☆ Solution ☆

Given :-

• Two angles of triangle are 45° and 75°.

To Find :-

• The measure of the third angle.

Step-by-Step-Explaination :-

Let,

• The third angle of triangle be x°

As we know that :-

Sum of all angles of triangle = 180°

So,

45° + 75° + x = 180°

120° + x = 180°

x = 180° - 120

x = 60°

Thus,

The measure of third angle is 60° .

Hence,

Option c) 60° is correct option.

Answer 2

Given :-

• Two angles of triangle are 45° and 75°.

To find :-

• The measure of the third angle.

Solution :-

• The third angle of traingle be x°

★ As we know that

${\sf{Sum~of~all~angles~of~triangle}}$ = 180%

So,

${\tt{45° + 75° + x = 180°}}$

${\tt{120° + x = 180°}}$

${\tt{x = 180° - 120}}$

${\tt{x = 60°}}$

Thus,

The measure of third angle is 60°.

Hence,

$\boxed {\bf{Option~c)}}$

• ${\rm\green{60°}}$ is correct option. $\large{\bf\green{✓}}$