Question

in right angled triangle one angle is 45⁰. find measure of all the angles​

Answer 1

Answer:

45° , 90° , 45°

Step-by-step explanation:

In the triangle :-

90° + 45° + unknown angle = 180°

135° + unknown angle = 180°

unknown angle = 45°

Hence the angles of the triangle are 90° , 45° , 45°

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Answer 2

Given:-

• One angle is of 45°
• Given triangle is a right angled triangle

To Find:-

• Measures of all the angels of triangle

Solution:-

Let the third unknown angle be x.

In right angled triangle, one angles is always equal to 90°.

Given one angle is 45°. And sum of all angles of triangle is 180°.

$\sf \implies \: \: 45 \degree + 90 \degree + x = 180 \degree \\ \sf \implies \: 135 \degree + x = 180 \\ \sf \implies \: x = 180 - 135 \\ \sf \implies \: \boxed{\boxed{ \tt{ \purple{x = 45 \degree}}}}$

Therefore, first angle measures 45°, second angle measures 90° and third angle measures 45°.

More to know:-

Triangle Sum Theorem- which states that all interior angles of traingle add up to constant 180°. It can be used in every type of traingle with three vertices and 3 sides.

In our question, given traingle was right angled triangle, it includes hypotenuse, base and altitude, which always draw a one perpendicular angle from base.(90°)