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One angle of a right triangle measures 63°. What is the measure of the other acute
angle?

User Chantee
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1 Answer

23 votes
23 votes


\huge \boxed{\mathbb{QUESTION} \downarrow}

  • One angle of a right triangle measures 63°. What is the measure of the other acute angle?


\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

Given that the triangle is a right angled triangle so one of its angles will be 90°. Then,

  • angle 1 = 90°
  • angle 2 = 63°
  • angle 3 = x

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Find x.

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With the angle sum property of a triangle, we can say that ⇨ angle 1 + angle 2 + angle 3 = 180° (the sum of measurements of all sides in a triangle will be equal to 180°).

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Solving...

angle 1 + angle 2 + angle 3 = 180°

90° + 63° + x = 180°

153° + x = 180°

x = 180° - 153°

x = 27°.

  • 27° is an acute angle ( 27° is greater than 0° but less than 90°)

__________________

The measure of the other acute angle is 27°.

User Jacket
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