Question

one of the angles of a right acuted triangle is 65degree . find the second acute angle​

Answer 1

Given :-

• Measure of one angle of a right angled acute triangle is 65°

To Find :-

• Another angle

Note :-

Since, its a right angled acute triangle, therefore, it must have atleast one 90° angle.

• Let the unknown angle be x

According to all the provided information and Angle sum property of a Triangle, we have :-

$\longrightarrow \sf { 65° + x + 90° = 180°} \\ \longrightarrow \sf { 155° + x = 180° \: \: \: \: \: \: \: \: \: } \\ \longrightarrow \sf { x = 180° - 155° \: \: \: \: \: \: \: \: \: } \\ \longrightarrow \sf { x = 25° \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

$\sf\red{\therefore \: the \: value \: of \: the \: required \: angle \: is \: 25°}$