Question

In a right angled triangle of an angle measures 35 degrees, then find the measure of the third angle

Answer 1

Answer:

55°

Step-by-step explanation:

Let the given right angled triangle be ABC right angled at B.

Right Angled at B means , ∠ABC = 90°.

Now, In a triangle sum of all the 3 angles = 180°

=> ∠ABC + ∠BCA + ∠CAB = 180°

=> ∠BCA + ∠CAB  = 90°.

Also given one angle is 35° let it be∠BCA

i.e., ∠BCA = 35°

=> ∠CAB = 90° - 35°

= 55°.

Thus, the measure of 3rd angle in the given right angled triangle is

55°

Answer 2

Answer:

55°

Step-by-step explanation:

Let the given right angled triangle be ABC right angled at B.

Right Angled at B means , ∠ABC = 90°.

Now, In a triangle sum of all the 3 angles = 180°

=> ∠ABC + ∠BCA + ∠CAB = 180°

=> ∠BCA + ∠CAB  = 90°.

Also given one angle is 35° let it be∠BCA

i.e., ∠BCA = 35°

=> ∠CAB = 90° - 35°

= 55°.

Thus, the measure of 3rd angle in the given right angled triangle is

55°