Question

2 angle of a triangle are 105 degree , and 45 degree . find the 3rd angle​

Answer 1

Given :

• Measures of two angles of a triangle are 105° and 45°

To Find :

• The measure of third angle of the triangle

Solution :

Sum of all the interior angles of a triangle is 180°. This property is known as angle sum property of triangle.

Let the other (3rd angle) required angle of given triangle be "x".

Now , using angle sum property of triangle ;

➙ 105° + 45° + x° = 180°

➙ x° + 150° = 180°

➙ x° = 180° - 150°

➙ x° = 30°

Hence , The required third angle of given triangle is 30°

Answer 2

$\large\mathtt\colorbox{plum}{Answer⤵}$

Given,

Measure of angle 1 = 105°

Measure of angle 2 = 45°

To find,

Measure of Angle 3

Solution,

$\large\orange{\boxed{\sf{Sum\: of\: all\: angles\: of\: triangle\: is\: 180°}}}$

Let unknown angle be "x"

➡ 105°+45°+x = 180°

➡ 150° + x = 180°

➡ x = 180° - 150°

➡ x = 30°