Question

In a right triangle, one of the angles measure 45 degree. Write the measures of the other two angles?

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Answer 1

1st Angle = 45°

2nd angle = Right angle = 90°

Sum of Angles of Triangle= 180°

Let, 3rd angle = x

So, x + 45 + 90 = 180

x + 135 = 180

x = 180-135

x = 45°

Than, 3rd angle = 45°

Answer 2

Answer:

Let us assume that ∆ABC is a right triangle,

A

|\

| \

| \

| \

|___ \C

B

Given that, one of the angle is 45°

so, let us take angle(BAC) = 45°

We know that, in a right angle triangle,

angle(ABC) = 90°

So,

angle(ABC) + angle(BAC) + angle(ACB) = 180°

[Sum of interior angles in a triangle is 180]

So,

45° + 90° + angle(ACB) = 180°

angle(ACB) = 180° - 135°

angle(ACB) = 45°

So,

the two angles are 90° and 45°

Hope you may get it

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