Question

Please give me the answer first? ​

Answer 1

$\large \red{ \underline{ \underline{ \green{ \rm \: solution : }}}}$

1 triangle :-

$\large \: \: \: \: \: \: \: \: \rightarrow \orange{ \boxed{ \pink{ \rm \: angle \: sum \: property}}}$

Angles of triangle ABC

• 90°

• 40°

$\bigstar$ Sum of all interior angle of triangle = 180°

$\rightarrow$ let finding angle be = x

$\implies$ x + 90 ° + 40° = 180°

$\implies$ x + 130° = 180°

• On transposing the terms :

$\implies$ x = 180° - 130°

$\implies$ x = 50°

$\large \therefore \blue{ \boxed{ \purple{ \rm \:3rd \: \: angle =50 \degree }}}$

_____________________________________________

2 triangle

$\large \: \: \: \: \: \: \: \: \rightarrow \orange{ \boxed{ \pink{ \rm \: angle \: sum \: property}}}$

Angles of triangle PQR

• 35°

• 30°

$\bigstar$ Sum of all interior angle of triangle = 180°

$\rightarrow$ let finding angle be = y

$\implies$ y + 35° + 30° = 180°

$\implies$ y + 65° = 180°

• On transposing the terms :

$\implies$ y = 180° - 65°

$\implies$ y = 95°

$\large \therefore \green{ \boxed{ \red{ \rm \:3rd \: \: angle =95 \degree }}}$

_____________________________________________

3 triangle

$\large \: \: \: \: \: \: \: \: \rightarrow \orange{ \boxed{ \pink{ \rm \: angle \: sum \: property}}}$

Angles of triangle LMN

• 62°

• 35°

$\bigstar$ Sum of all interior angle of triangle = 180°

$\rightarrow$ let finding angle be = z

$\implies$ z + 35° + 62° = 180°

$\implies$ z + 97° = 180°

• On transposing the terms :

$\implies$ z = 180° - 97°

$\implies$ z = 83°

$\large \therefore \purple{ \boxed{ \orange{ \rm \:3rd \: \: angle =83 \degree }}}$