Question

if two angles of a triangle is 70degrees and 2w5 degrees what is the measure of the third angle??


​

Answer 1

GIVEN :-

• Two angles of a triangle are 70° and 25°

TO FIND :-

• The measure of the third angle

CONCEPT :-

Here, we will use the concept of Angle Sum property of a triangle. This states that the sum of all angles in a triangle is 180° . Now we will make a linear equation using the given information. Therefore, the linear equation so formed is :

$\underline{ \boxed{\hookrightarrow \sf 180 ^{ \circ} = 70 ^{ \circ} + 25 ^{ \circ} + x}}$

SOLUTION :-

To obtain the required answer we will solve this. Thus :-

$\hookrightarrow \sf 180 ^{ \circ} = 70 ^{ \circ} + 25 ^{ \circ} + x \\ \\ \hookrightarrow \sf 180 ^{ \circ} =95 ^{ \circ} + x \: \: \: \: \: \: \: \: \: \: \: \\ \\ \hookrightarrow \sf x = 180 ^{ \circ} - 95 ^ { \circ} \: \: \: \: \: \: \: \: \: \: \: \\ \\\hookrightarrow \sf x = 85^{ \circ} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the measure of the third angle is 85°