Question

6. If the measure of one angle of a right angled triangle is 48°, find the other two angles.​

Answer 1

Answer:

Let the triangle be ABC

Then Angle A is 90

Angle B 48

then Angle C = 180 - 90 + 48

= 42°

Answer 2

$\Large{\underbrace{\sf{\orange{Required\:Solution:}}}}$

Knowledge Required —

We know thαt in α right αngled triαngle, the meαsure of one αngle is αlwαys 90° αnd the αngle sum property of α triαngle is 180°.

Given thαt,

• Another αngle is 48°

◾️We need to find the other αngle.

______

To do so,

Let's αssume other αngle to be x.

According to the question,

$\implies{\sf{x+90°+48°=180°}}$

• Simplify this equation.

$\implies{\sf{x+138°=180°}}$

$\implies{\sf{x=180°-138°}}$

$\large{:}\implies{\boxed{\sf{\orange{x=42°}}}}$

Therefore, the measure of other two angles are 90° and 42°.

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